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Finding the Fourth Proportional to 1,010.09, 1,512.25 and 732.69

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Solution

The fourth proportional to 1,010.09, 1,512.25 and 732.69 is: 1,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.09 : 1,512.25 = 732.69 : x
  2. Step 2: Convert to fraction form
    1,010.09/1,512.25 = 732.69/x
  3. Step 3: Cross multiply
    1,010.09x = 1,512.25 × 732.69
  4. Step 4: Simplify right side
    1,010.09x = 1,108,008.62
  5. Step 5: Solve for x
    x = 1,108,008.62/1,010.09
  6. Step 6: Final answer
    x = 1,096.94

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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.