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Finding the Fourth Proportional to 1,328.90, 1,993.55 and 463.01

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Solution

The fourth proportional to 1,328.90, 1,993.55 and 463.01 is: 694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.90 : 1,993.55 = 463.01 : x
  2. Step 2: Convert to fraction form
    1,328.90/1,993.55 = 463.01/x
  3. Step 3: Cross multiply
    1,328.90x = 1,993.55 × 463.01
  4. Step 4: Simplify right side
    1,328.90x = 923,021.30
  5. Step 5: Solve for x
    x = 923,021.30/1,328.90
  6. Step 6: Final answer
    x = 694.58

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.