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Finding the Fourth Proportional to 742.59, 1,114.29 and 740.25

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Solution

The fourth proportional to 742.59, 1,114.29 and 740.25 is: 1,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,114.29 = 740.25 : x
  2. Step 2: Convert to fraction form
    742.59/1,114.29 = 740.25/x
  3. Step 3: Cross multiply
    742.59x = 1,114.29 × 740.25
  4. Step 4: Simplify right side
    742.59x = 824,853.17
  5. Step 5: Solve for x
    x = 824,853.17/742.59
  6. Step 6: Final answer
    x = 1,110.78

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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.