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Finding the Fourth Proportional to 966.32, 1,332.84 and 951.92

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Solution

The fourth proportional to 966.32, 1,332.84 and 951.92 is: 1,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.32 : 1,332.84 = 951.92 : x
  2. Step 2: Convert to fraction form
    966.32/1,332.84 = 951.92/x
  3. Step 3: Cross multiply
    966.32x = 1,332.84 × 951.92
  4. Step 4: Simplify right side
    966.32x = 1,268,757.05
  5. Step 5: Solve for x
    x = 1,268,757.05/966.32
  6. Step 6: Final answer
    x = 1,312.98

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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.