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Finding the Fourth Proportional to 731.65, 1,007.97 and 510.21

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Solution

The fourth proportional to 731.65, 1,007.97 and 510.21 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.65 : 1,007.97 = 510.21 : x
  2. Step 2: Convert to fraction form
    731.65/1,007.97 = 510.21/x
  3. Step 3: Cross multiply
    731.65x = 1,007.97 × 510.21
  4. Step 4: Simplify right side
    731.65x = 514,276.37
  5. Step 5: Solve for x
    x = 514,276.37/731.65
  6. Step 6: Final answer
    x = 702.90

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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.