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Finding the Fourth Proportional to 642.82, 959.96 and 560.74

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Solution

The fourth proportional to 642.82, 959.96 and 560.74 is: 837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 959.96 = 560.74 : x
  2. Step 2: Convert to fraction form
    642.82/959.96 = 560.74/x
  3. Step 3: Cross multiply
    642.82x = 959.96 × 560.74
  4. Step 4: Simplify right side
    642.82x = 538,287.97
  5. Step 5: Solve for x
    x = 538,287.97/642.82
  6. Step 6: Final answer
    x = 837.39

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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.