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Finding the Fourth Proportional to 1,077.12, 1,613.61 and 614.16

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Solution

The fourth proportional to 1,077.12, 1,613.61 and 614.16 is: 920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.12 : 1,613.61 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,077.12/1,613.61 = 614.16/x
  3. Step 3: Cross multiply
    1,077.12x = 1,613.61 × 614.16
  4. Step 4: Simplify right side
    1,077.12x = 991,014.72
  5. Step 5: Solve for x
    x = 991,014.72/1,077.12
  6. Step 6: Final answer
    x = 920.06

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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.