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Finding the Fourth Proportional to 1,010.97, 1,516.55 and 270.70

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Solution

The fourth proportional to 1,010.97, 1,516.55 and 270.70 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.97 : 1,516.55 = 270.70 : x
  2. Step 2: Convert to fraction form
    1,010.97/1,516.55 = 270.70/x
  3. Step 3: Cross multiply
    1,010.97x = 1,516.55 × 270.70
  4. Step 4: Simplify right side
    1,010.97x = 410,521.15
  5. Step 5: Solve for x
    x = 410,521.15/1,010.97
  6. Step 6: Final answer
    x = 406.07

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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.