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Finding the Fourth Proportional to 966.27, 1,449.84 and 411.13

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Solution

The fourth proportional to 966.27, 1,449.84 and 411.13 is: 616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.27 : 1,449.84 = 411.13 : x
  2. Step 2: Convert to fraction form
    966.27/1,449.84 = 411.13/x
  3. Step 3: Cross multiply
    966.27x = 1,449.84 × 411.13
  4. Step 4: Simplify right side
    966.27x = 596,065.03
  5. Step 5: Solve for x
    x = 596,065.03/966.27
  6. Step 6: Final answer
    x = 616.87

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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.