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Finding the Fourth Proportional to 974.01, 1,344.14 and 531.92

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Solution

The fourth proportional to 974.01, 1,344.14 and 531.92 is: 734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.01 : 1,344.14 = 531.92 : x
  2. Step 2: Convert to fraction form
    974.01/1,344.14 = 531.92/x
  3. Step 3: Cross multiply
    974.01x = 1,344.14 × 531.92
  4. Step 4: Simplify right side
    974.01x = 714,965.57
  5. Step 5: Solve for x
    x = 714,965.57/974.01
  6. Step 6: Final answer
    x = 734.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.