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Finding the Fourth Proportional to 1,034.81, 1,549.31 and 741.27

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Solution

The fourth proportional to 1,034.81, 1,549.31 and 741.27 is: 1,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.81 : 1,549.31 = 741.27 : x
  2. Step 2: Convert to fraction form
    1,034.81/1,549.31 = 741.27/x
  3. Step 3: Cross multiply
    1,034.81x = 1,549.31 × 741.27
  4. Step 4: Simplify right side
    1,034.81x = 1,148,459.13
  5. Step 5: Solve for x
    x = 1,148,459.13/1,034.81
  6. Step 6: Final answer
    x = 1,109.83

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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.