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Finding the Fourth Proportional to 1,000.37, 1,500.57 and 269.90

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Solution

The fourth proportional to 1,000.37, 1,500.57 and 269.90 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.37 : 1,500.57 = 269.90 : x
  2. Step 2: Convert to fraction form
    1,000.37/1,500.57 = 269.90/x
  3. Step 3: Cross multiply
    1,000.37x = 1,500.57 × 269.90
  4. Step 4: Simplify right side
    1,000.37x = 405,001.97
  5. Step 5: Solve for x
    x = 405,001.97/1,000.37
  6. Step 6: Final answer
    x = 404.85

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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.