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Finding the Fourth Proportional to 959.46, 1,439.80 and 411.65

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Solution

The fourth proportional to 959.46, 1,439.80 and 411.65 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.46 : 1,439.80 = 411.65 : x
  2. Step 2: Convert to fraction form
    959.46/1,439.80 = 411.65/x
  3. Step 3: Cross multiply
    959.46x = 1,439.80 × 411.65
  4. Step 4: Simplify right side
    959.46x = 592,693.67
  5. Step 5: Solve for x
    x = 592,693.67/959.46
  6. Step 6: Final answer
    x = 617.74

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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.