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Finding the Fourth Proportional to 1,446.07, 2,168.29 and 458.70

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Solution

The fourth proportional to 1,446.07, 2,168.29 and 458.70 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.07 : 2,168.29 = 458.70 : x
  2. Step 2: Convert to fraction form
    1,446.07/2,168.29 = 458.70/x
  3. Step 3: Cross multiply
    1,446.07x = 2,168.29 × 458.70
  4. Step 4: Simplify right side
    1,446.07x = 994,584.49
  5. Step 5: Solve for x
    x = 994,584.49/1,446.07
  6. Step 6: Final answer
    x = 687.78

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