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Finding the Fourth Proportional to 966.09, 1,446.42 and 502.86

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Solution

The fourth proportional to 966.09, 1,446.42 and 502.86 is: 752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,446.42 = 502.86 : x
  2. Step 2: Convert to fraction form
    966.09/1,446.42 = 502.86/x
  3. Step 3: Cross multiply
    966.09x = 1,446.42 × 502.86
  4. Step 4: Simplify right side
    966.09x = 727,346.76
  5. Step 5: Solve for x
    x = 727,346.76/966.09
  6. Step 6: Final answer
    x = 752.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.