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Finding the Fourth Proportional to 1,328.58, 1,993.14 and 463.14

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Solution

The fourth proportional to 1,328.58, 1,993.14 and 463.14 is: 694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.58 : 1,993.14 = 463.14 : x
  2. Step 2: Convert to fraction form
    1,328.58/1,993.14 = 463.14/x
  3. Step 3: Cross multiply
    1,328.58x = 1,993.14 × 463.14
  4. Step 4: Simplify right side
    1,328.58x = 923,102.86
  5. Step 5: Solve for x
    x = 923,102.86/1,328.58
  6. Step 6: Final answer
    x = 694.80

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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.