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Finding the Fourth Proportional to 742.40, 1,110.72 and 486.40

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Solution

The fourth proportional to 742.40, 1,110.72 and 486.40 is: 727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.40 : 1,110.72 = 486.40 : x
  2. Step 2: Convert to fraction form
    742.40/1,110.72 = 486.40/x
  3. Step 3: Cross multiply
    742.40x = 1,110.72 × 486.40
  4. Step 4: Simplify right side
    742.40x = 540,254.21
  5. Step 5: Solve for x
    x = 540,254.21/742.40
  6. Step 6: Final answer
    x = 727.71

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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.