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Finding the Fourth Proportional to 974.59, 1,344.96 and 560.67

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Solution

The fourth proportional to 974.59, 1,344.96 and 560.67 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.59 : 1,344.96 = 560.67 : x
  2. Step 2: Convert to fraction form
    974.59/1,344.96 = 560.67/x
  3. Step 3: Cross multiply
    974.59x = 1,344.96 × 560.67
  4. Step 4: Simplify right side
    974.59x = 754,078.72
  5. Step 5: Solve for x
    x = 754,078.72/974.59
  6. Step 6: Final answer
    x = 773.74

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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.