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Finding the Fourth Proportional to 1,463.91, 2,019.63 and 932.70

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Solution

The fourth proportional to 1,463.91, 2,019.63 and 932.70 is: 1,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.91 : 2,019.63 = 932.70 : x
  2. Step 2: Convert to fraction form
    1,463.91/2,019.63 = 932.70/x
  3. Step 3: Cross multiply
    1,463.91x = 2,019.63 × 932.70
  4. Step 4: Simplify right side
    1,463.91x = 1,883,702.42
  5. Step 5: Solve for x
    x = 1,883,702.42/1,463.91
  6. Step 6: Final answer
    x = 1,286.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.