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Finding the Fourth Proportional to 951.96, 1,313.87 and 553.86

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Solution

The fourth proportional to 951.96, 1,313.87 and 553.86 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.96 : 1,313.87 = 553.86 : x
  2. Step 2: Convert to fraction form
    951.96/1,313.87 = 553.86/x
  3. Step 3: Cross multiply
    951.96x = 1,313.87 × 553.86
  4. Step 4: Simplify right side
    951.96x = 727,695.46
  5. Step 5: Solve for x
    x = 727,695.46/951.96
  6. Step 6: Final answer
    x = 764.42

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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.