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Finding the Fourth Proportional to 731.04, 1,007.10 and 509.59

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Solution

The fourth proportional to 731.04, 1,007.10 and 509.59 is: 702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.04 : 1,007.10 = 509.59 : x
  2. Step 2: Convert to fraction form
    731.04/1,007.10 = 509.59/x
  3. Step 3: Cross multiply
    731.04x = 1,007.10 × 509.59
  4. Step 4: Simplify right side
    731.04x = 513,208.09
  5. Step 5: Solve for x
    x = 513,208.09/731.04
  6. Step 6: Final answer
    x = 702.02

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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.