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Finding the Fourth Proportional to 1,387.49, 2,081.39 and 462.73

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Solution

The fourth proportional to 1,387.49, 2,081.39 and 462.73 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.49 : 2,081.39 = 462.73 : x
  2. Step 2: Convert to fraction form
    1,387.49/2,081.39 = 462.73/x
  3. Step 3: Cross multiply
    1,387.49x = 2,081.39 × 462.73
  4. Step 4: Simplify right side
    1,387.49x = 963,114.08
  5. Step 5: Solve for x
    x = 963,114.08/1,387.49
  6. Step 6: Final answer
    x = 694.14

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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.