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Finding the Fourth Proportional to 741.85, 1,112.85 and 248.24

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Solution

The fourth proportional to 741.85, 1,112.85 and 248.24 is: 372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.85 : 1,112.85 = 248.24 : x
  2. Step 2: Convert to fraction form
    741.85/1,112.85 = 248.24/x
  3. Step 3: Cross multiply
    741.85x = 1,112.85 × 248.24
  4. Step 4: Simplify right side
    741.85x = 276,252.31
  5. Step 5: Solve for x
    x = 276,252.31/741.85
  6. Step 6: Final answer
    x = 372.38

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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.