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Finding the Fourth Proportional to 1,387.17, 2,081.07 and 462.83

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Solution

The fourth proportional to 1,387.17, 2,081.07 and 462.83 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.17 : 2,081.07 = 462.83 : x
  2. Step 2: Convert to fraction form
    1,387.17/2,081.07 = 462.83/x
  3. Step 3: Cross multiply
    1,387.17x = 2,081.07 × 462.83
  4. Step 4: Simplify right side
    1,387.17x = 963,171.22
  5. Step 5: Solve for x
    x = 963,171.22/1,387.17
  6. Step 6: Final answer
    x = 694.34

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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.