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Finding the Fourth Proportional to 1,010.35, 1,515.35 and 269.97

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Solution

The fourth proportional to 1,010.35, 1,515.35 and 269.97 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.35 : 1,515.35 = 269.97 : x
  2. Step 2: Convert to fraction form
    1,010.35/1,515.35 = 269.97/x
  3. Step 3: Cross multiply
    1,010.35x = 1,515.35 × 269.97
  4. Step 4: Simplify right side
    1,010.35x = 409,099.04
  5. Step 5: Solve for x
    x = 409,099.04/1,010.35
  6. Step 6: Final answer
    x = 404.91

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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.