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Finding the Fourth Proportional to 742.96, 1,111.15 and 661.27

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Solution

The fourth proportional to 742.96, 1,111.15 and 661.27 is: 988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,111.15 = 661.27 : x
  2. Step 2: Convert to fraction form
    742.96/1,111.15 = 661.27/x
  3. Step 3: Cross multiply
    742.96x = 1,111.15 × 661.27
  4. Step 4: Simplify right side
    742.96x = 734,773.42
  5. Step 5: Solve for x
    x = 734,773.42/742.96
  6. Step 6: Final answer
    x = 988.99

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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.