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Finding the Fourth Proportional to 959.48, 1,438.54 and 411.37

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Solution

The fourth proportional to 959.48, 1,438.54 and 411.37 is: 616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.48 : 1,438.54 = 411.37 : x
  2. Step 2: Convert to fraction form
    959.48/1,438.54 = 411.37/x
  3. Step 3: Cross multiply
    959.48x = 1,438.54 × 411.37
  4. Step 4: Simplify right side
    959.48x = 591,772.20
  5. Step 5: Solve for x
    x = 591,772.20/959.48
  6. Step 6: Final answer
    x = 616.76

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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.