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Finding the Fourth Proportional to 723.24, 1,084.60 and 260.86

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Solution

The fourth proportional to 723.24, 1,084.60 and 260.86 is: 391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,084.60 = 260.86 : x
  2. Step 2: Convert to fraction form
    723.24/1,084.60 = 260.86/x
  3. Step 3: Cross multiply
    723.24x = 1,084.60 × 260.86
  4. Step 4: Simplify right side
    723.24x = 282,928.76
  5. Step 5: Solve for x
    x = 282,928.76/723.24
  6. Step 6: Final answer
    x = 391.20

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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.