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Finding the Fourth Proportional to 951.56, 1,313.46 and 731.24

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Solution

The fourth proportional to 951.56, 1,313.46 and 731.24 is: 1,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.56 : 1,313.46 = 731.24 : x
  2. Step 2: Convert to fraction form
    951.56/1,313.46 = 731.24/x
  3. Step 3: Cross multiply
    951.56x = 1,313.46 × 731.24
  4. Step 4: Simplify right side
    951.56x = 960,454.49
  5. Step 5: Solve for x
    x = 960,454.49/951.56
  6. Step 6: Final answer
    x = 1,009.35

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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.