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Finding the Fourth Proportional to 744.73, 1,117.24 and 257.72

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Solution

The fourth proportional to 744.73, 1,117.24 and 257.72 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.73 : 1,117.24 = 257.72 : x
  2. Step 2: Convert to fraction form
    744.73/1,117.24 = 257.72/x
  3. Step 3: Cross multiply
    744.73x = 1,117.24 × 257.72
  4. Step 4: Simplify right side
    744.73x = 287,928.86
  5. Step 5: Solve for x
    x = 287,928.86/744.73
  6. Step 6: Final answer
    x = 386.62

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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.