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Finding the Fourth Proportional to 1,387.80, 2,081.66 and 565.85

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Solution

The fourth proportional to 1,387.80, 2,081.66 and 565.85 is: 848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.80 : 2,081.66 = 565.85 : x
  2. Step 2: Convert to fraction form
    1,387.80/2,081.66 = 565.85/x
  3. Step 3: Cross multiply
    1,387.80x = 2,081.66 × 565.85
  4. Step 4: Simplify right side
    1,387.80x = 1,177,909.69
  5. Step 5: Solve for x
    x = 1,177,909.69/1,387.80
  6. Step 6: Final answer
    x = 848.76

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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.