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Finding the Fourth Proportional to 1,240.17, 1,711.49 and 742.71

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Solution

The fourth proportional to 1,240.17, 1,711.49 and 742.71 is: 1,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.17 : 1,711.49 = 742.71 : x
  2. Step 2: Convert to fraction form
    1,240.17/1,711.49 = 742.71/x
  3. Step 3: Cross multiply
    1,240.17x = 1,711.49 × 742.71
  4. Step 4: Simplify right side
    1,240.17x = 1,271,137.02
  5. Step 5: Solve for x
    x = 1,271,137.02/1,240.17
  6. Step 6: Final answer
    x = 1,024.97

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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.