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Finding the Fourth Proportional to 1,387.81, 2,082.06 and 413.91

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Solution

The fourth proportional to 1,387.81, 2,082.06 and 413.91 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.81 : 2,082.06 = 413.91 : x
  2. Step 2: Convert to fraction form
    1,387.81/2,082.06 = 413.91/x
  3. Step 3: Cross multiply
    1,387.81x = 2,082.06 × 413.91
  4. Step 4: Simplify right side
    1,387.81x = 861,785.45
  5. Step 5: Solve for x
    x = 861,785.45/1,387.81
  6. Step 6: Final answer
    x = 620.97

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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.