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Finding the Fourth Proportional to 1,000.28, 1,500.41 and 269.85

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Solution

The fourth proportional to 1,000.28, 1,500.41 and 269.85 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.28 : 1,500.41 = 269.85 : x
  2. Step 2: Convert to fraction form
    1,000.28/1,500.41 = 269.85/x
  3. Step 3: Cross multiply
    1,000.28x = 1,500.41 × 269.85
  4. Step 4: Simplify right side
    1,000.28x = 404,886.31
  5. Step 5: Solve for x
    x = 404,886.31/1,000.28
  6. Step 6: Final answer
    x = 404.78

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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.