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Finding the Fourth Proportional to 720.45, 1,079.55 and 394.83

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Solution

The fourth proportional to 720.45, 1,079.55 and 394.83 is: 591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.45 : 1,079.55 = 394.83 : x
  2. Step 2: Convert to fraction form
    720.45/1,079.55 = 394.83/x
  3. Step 3: Cross multiply
    720.45x = 1,079.55 × 394.83
  4. Step 4: Simplify right side
    720.45x = 426,238.73
  5. Step 5: Solve for x
    x = 426,238.73/720.45
  6. Step 6: Final answer
    x = 591.63

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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.