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Finding the Fourth Proportional to 974.07, 1,344.22 and 531.97

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Solution

The fourth proportional to 974.07, 1,344.22 and 531.97 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,344.22 = 531.97 : x
  2. Step 2: Convert to fraction form
    974.07/1,344.22 = 531.97/x
  3. Step 3: Cross multiply
    974.07x = 1,344.22 × 531.97
  4. Step 4: Simplify right side
    974.07x = 715,084.71
  5. Step 5: Solve for x
    x = 715,084.71/974.07
  6. Step 6: Final answer
    x = 734.12

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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.