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Finding the Fourth Proportional to 959.90, 1,439.86 and 411.74

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Solution

The fourth proportional to 959.90, 1,439.86 and 411.74 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.90 : 1,439.86 = 411.74 : x
  2. Step 2: Convert to fraction form
    959.90/1,439.86 = 411.74/x
  3. Step 3: Cross multiply
    959.90x = 1,439.86 × 411.74
  4. Step 4: Simplify right side
    959.90x = 592,847.96
  5. Step 5: Solve for x
    x = 592,847.96/959.90
  6. Step 6: Final answer
    x = 617.61

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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.