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Finding the Fourth Proportional to 1,039.38, 1,559.06 and 269.88

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Solution

The fourth proportional to 1,039.38, 1,559.06 and 269.88 is: 404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.38 : 1,559.06 = 269.88 : x
  2. Step 2: Convert to fraction form
    1,039.38/1,559.06 = 269.88/x
  3. Step 3: Cross multiply
    1,039.38x = 1,559.06 × 269.88
  4. Step 4: Simplify right side
    1,039.38x = 420,759.11
  5. Step 5: Solve for x
    x = 420,759.11/1,039.38
  6. Step 6: Final answer
    x = 404.82

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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.