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Finding the Fourth Proportional to 732.57, 1,009.71 and 470.13

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Solution

The fourth proportional to 732.57, 1,009.71 and 470.13 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.57 : 1,009.71 = 470.13 : x
  2. Step 2: Convert to fraction form
    732.57/1,009.71 = 470.13/x
  3. Step 3: Cross multiply
    732.57x = 1,009.71 × 470.13
  4. Step 4: Simplify right side
    732.57x = 474,694.96
  5. Step 5: Solve for x
    x = 474,694.96/732.57
  6. Step 6: Final answer
    x = 647.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.