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Finding the Fourth Proportional to 1,000.29, 1,500.31 and 269.81

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Solution

The fourth proportional to 1,000.29, 1,500.31 and 269.81 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.29 : 1,500.31 = 269.81 : x
  2. Step 2: Convert to fraction form
    1,000.29/1,500.31 = 269.81/x
  3. Step 3: Cross multiply
    1,000.29x = 1,500.31 × 269.81
  4. Step 4: Simplify right side
    1,000.29x = 404,798.64
  5. Step 5: Solve for x
    x = 404,798.64/1,000.29
  6. Step 6: Final answer
    x = 404.68

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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.