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Finding the Fourth Proportional to 959.48, 1,439.76 and 412.20

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Solution

The fourth proportional to 959.48, 1,439.76 and 412.20 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.48 : 1,439.76 = 412.20 : x
  2. Step 2: Convert to fraction form
    959.48/1,439.76 = 412.20/x
  3. Step 3: Cross multiply
    959.48x = 1,439.76 × 412.20
  4. Step 4: Simplify right side
    959.48x = 593,469.07
  5. Step 5: Solve for x
    x = 593,469.07/959.48
  6. Step 6: Final answer
    x = 618.53

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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.