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Finding the Fourth Proportional to 726.47, 1,002.76 and 461.09

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Solution

The fourth proportional to 726.47, 1,002.76 and 461.09 is: 636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.47 : 1,002.76 = 461.09 : x
  2. Step 2: Convert to fraction form
    726.47/1,002.76 = 461.09/x
  3. Step 3: Cross multiply
    726.47x = 1,002.76 × 461.09
  4. Step 4: Simplify right side
    726.47x = 462,357.59
  5. Step 5: Solve for x
    x = 462,357.59/726.47
  6. Step 6: Final answer
    x = 636.45

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