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Finding the Fourth Proportional to 974.74, 1,344.69 and 560.50

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Solution

The fourth proportional to 974.74, 1,344.69 and 560.50 is: 773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.74 : 1,344.69 = 560.50 : x
  2. Step 2: Convert to fraction form
    974.74/1,344.69 = 560.50/x
  3. Step 3: Cross multiply
    974.74x = 1,344.69 × 560.50
  4. Step 4: Simplify right side
    974.74x = 753,698.75
  5. Step 5: Solve for x
    x = 753,698.75/974.74
  6. Step 6: Final answer
    x = 773.23

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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.