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Finding the Fourth Proportional to 974.62, 1,345.17 and 726.36

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Solution

The fourth proportional to 974.62, 1,345.17 and 726.36 is: 1,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,345.17 = 726.36 : x
  2. Step 2: Convert to fraction form
    974.62/1,345.17 = 726.36/x
  3. Step 3: Cross multiply
    974.62x = 1,345.17 × 726.36
  4. Step 4: Simplify right side
    974.62x = 977,077.68
  5. Step 5: Solve for x
    x = 977,077.68/974.62
  6. Step 6: Final answer
    x = 1,002.52

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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.