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Finding the Fourth Proportional to 1,480.38, 2,217.84 and 864.42

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Solution

The fourth proportional to 1,480.38, 2,217.84 and 864.42 is: 1,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.38 : 2,217.84 = 864.42 : x
  2. Step 2: Convert to fraction form
    1,480.38/2,217.84 = 864.42/x
  3. Step 3: Cross multiply
    1,480.38x = 2,217.84 × 864.42
  4. Step 4: Simplify right side
    1,480.38x = 1,917,145.25
  5. Step 5: Solve for x
    x = 1,917,145.25/1,480.38
  6. Step 6: Final answer
    x = 1,295.04

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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.