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Finding the Fourth Proportional to 959.24, 1,439.60 and 411.81

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Solution

The fourth proportional to 959.24, 1,439.60 and 411.81 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.24 : 1,439.60 = 411.81 : x
  2. Step 2: Convert to fraction form
    959.24/1,439.60 = 411.81/x
  3. Step 3: Cross multiply
    959.24x = 1,439.60 × 411.81
  4. Step 4: Simplify right side
    959.24x = 592,839.62
  5. Step 5: Solve for x
    x = 592,839.62/959.24
  6. Step 6: Final answer
    x = 618.03

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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.