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Finding the Fourth Proportional to 966.60, 1,447.47 and 502.74

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Solution

The fourth proportional to 966.60, 1,447.47 and 502.74 is: 752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.60 : 1,447.47 = 502.74 : x
  2. Step 2: Convert to fraction form
    966.60/1,447.47 = 502.74/x
  3. Step 3: Cross multiply
    966.60x = 1,447.47 × 502.74
  4. Step 4: Simplify right side
    966.60x = 727,701.07
  5. Step 5: Solve for x
    x = 727,701.07/966.60
  6. Step 6: Final answer
    x = 752.85

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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.