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Finding the Fourth Proportional to 720.44, 1,079.64 and 411.83

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Solution

The fourth proportional to 720.44, 1,079.64 and 411.83 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 1,079.64 = 411.83 : x
  2. Step 2: Convert to fraction form
    720.44/1,079.64 = 411.83/x
  3. Step 3: Cross multiply
    720.44x = 1,079.64 × 411.83
  4. Step 4: Simplify right side
    720.44x = 444,624.61
  5. Step 5: Solve for x
    x = 444,624.61/720.44
  6. Step 6: Final answer
    x = 617.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.