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Finding the Fourth Proportional to 712.17, 1,061.87 and 641.39

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Solution

The fourth proportional to 712.17, 1,061.87 and 641.39 is: 956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.17 : 1,061.87 = 641.39 : x
  2. Step 2: Convert to fraction form
    712.17/1,061.87 = 641.39/x
  3. Step 3: Cross multiply
    712.17x = 1,061.87 × 641.39
  4. Step 4: Simplify right side
    712.17x = 681,064.28
  5. Step 5: Solve for x
    x = 681,064.28/712.17
  6. Step 6: Final answer
    x = 956.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.