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Finding the Fourth Proportional to 1,000.10, 1,500.26 and 269.68

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Solution

The fourth proportional to 1,000.10, 1,500.26 and 269.68 is: 404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.10 : 1,500.26 = 269.68 : x
  2. Step 2: Convert to fraction form
    1,000.10/1,500.26 = 269.68/x
  3. Step 3: Cross multiply
    1,000.10x = 1,500.26 × 269.68
  4. Step 4: Simplify right side
    1,000.10x = 404,590.12
  5. Step 5: Solve for x
    x = 404,590.12/1,000.10
  6. Step 6: Final answer
    x = 404.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.