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Finding the Fourth Proportional to 726.31, 1,001.80 and 505.32

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Solution

The fourth proportional to 726.31, 1,001.80 and 505.32 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.31 : 1,001.80 = 505.32 : x
  2. Step 2: Convert to fraction form
    726.31/1,001.80 = 505.32/x
  3. Step 3: Cross multiply
    726.31x = 1,001.80 × 505.32
  4. Step 4: Simplify right side
    726.31x = 506,229.58
  5. Step 5: Solve for x
    x = 506,229.58/726.31
  6. Step 6: Final answer
    x = 696.99

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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.