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Finding the Fourth Proportional to 724.19, 1,085.65 and 261.86

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Solution

The fourth proportional to 724.19, 1,085.65 and 261.86 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.19 : 1,085.65 = 261.86 : x
  2. Step 2: Convert to fraction form
    724.19/1,085.65 = 261.86/x
  3. Step 3: Cross multiply
    724.19x = 1,085.65 × 261.86
  4. Step 4: Simplify right side
    724.19x = 284,290.37
  5. Step 5: Solve for x
    x = 284,290.37/724.19
  6. Step 6: Final answer
    x = 392.56

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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.