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Finding the Fourth Proportional to 1,147.91, 1,724.17 and 686.59

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Solution

The fourth proportional to 1,147.91, 1,724.17 and 686.59 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.91 : 1,724.17 = 686.59 : x
  2. Step 2: Convert to fraction form
    1,147.91/1,724.17 = 686.59/x
  3. Step 3: Cross multiply
    1,147.91x = 1,724.17 × 686.59
  4. Step 4: Simplify right side
    1,147.91x = 1,183,802.84
  5. Step 5: Solve for x
    x = 1,183,802.84/1,147.91
  6. Step 6: Final answer
    x = 1,031.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.