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Finding the Fourth Proportional to 742.96, 1,113.74 and 377.32

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Solution

The fourth proportional to 742.96, 1,113.74 and 377.32 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,113.74 = 377.32 : x
  2. Step 2: Convert to fraction form
    742.96/1,113.74 = 377.32/x
  3. Step 3: Cross multiply
    742.96x = 1,113.74 × 377.32
  4. Step 4: Simplify right side
    742.96x = 420,236.38
  5. Step 5: Solve for x
    x = 420,236.38/742.96
  6. Step 6: Final answer
    x = 565.62

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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.