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Finding the Fourth Proportional to 742.60, 1,114.10 and 249.18

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Solution

The fourth proportional to 742.60, 1,114.10 and 249.18 is: 373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.60 : 1,114.10 = 249.18 : x
  2. Step 2: Convert to fraction form
    742.60/1,114.10 = 249.18/x
  3. Step 3: Cross multiply
    742.60x = 1,114.10 × 249.18
  4. Step 4: Simplify right side
    742.60x = 277,611.44
  5. Step 5: Solve for x
    x = 277,611.44/742.60
  6. Step 6: Final answer
    x = 373.84

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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.