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Finding the Fourth Proportional to 1,193.40, 1,790.12 and 327.72

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Solution

The fourth proportional to 1,193.40, 1,790.12 and 327.72 is: 491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.40 : 1,790.12 = 327.72 : x
  2. Step 2: Convert to fraction form
    1,193.40/1,790.12 = 327.72/x
  3. Step 3: Cross multiply
    1,193.40x = 1,790.12 × 327.72
  4. Step 4: Simplify right side
    1,193.40x = 586,658.13
  5. Step 5: Solve for x
    x = 586,658.13/1,193.40
  6. Step 6: Final answer
    x = 491.59

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Double scale
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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.