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Finding the Fourth Proportional to 974.57, 1,344.01 and 761.91

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Solution

The fourth proportional to 974.57, 1,344.01 and 761.91 is: 1,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.57 : 1,344.01 = 761.91 : x
  2. Step 2: Convert to fraction form
    974.57/1,344.01 = 761.91/x
  3. Step 3: Cross multiply
    974.57x = 1,344.01 × 761.91
  4. Step 4: Simplify right side
    974.57x = 1,024,007.94
  5. Step 5: Solve for x
    x = 1,024,007.94/974.57
  6. Step 6: Final answer
    x = 1,050.73

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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.