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Finding the Fourth Proportional to 726.70, 1,002.56 and 538.09

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Solution

The fourth proportional to 726.70, 1,002.56 and 538.09 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.70 : 1,002.56 = 538.09 : x
  2. Step 2: Convert to fraction form
    726.70/1,002.56 = 538.09/x
  3. Step 3: Cross multiply
    726.70x = 1,002.56 × 538.09
  4. Step 4: Simplify right side
    726.70x = 539,467.51
  5. Step 5: Solve for x
    x = 539,467.51/726.70
  6. Step 6: Final answer
    x = 742.35

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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.