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Finding the Fourth Proportional to 720.96, 1,081.20 and 258.66

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Solution

The fourth proportional to 720.96, 1,081.20 and 258.66 is: 387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 1,081.20 = 258.66 : x
  2. Step 2: Convert to fraction form
    720.96/1,081.20 = 258.66/x
  3. Step 3: Cross multiply
    720.96x = 1,081.20 × 258.66
  4. Step 4: Simplify right side
    720.96x = 279,663.19
  5. Step 5: Solve for x
    x = 279,663.19/720.96
  6. Step 6: Final answer
    x = 387.90

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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.