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Finding the Fourth Proportional to 959.14, 1,438.49 and 410.87

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Solution

The fourth proportional to 959.14, 1,438.49 and 410.87 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.14 : 1,438.49 = 410.87 : x
  2. Step 2: Convert to fraction form
    959.14/1,438.49 = 410.87/x
  3. Step 3: Cross multiply
    959.14x = 1,438.49 × 410.87
  4. Step 4: Simplify right side
    959.14x = 591,037.01
  5. Step 5: Solve for x
    x = 591,037.01/959.14
  6. Step 6: Final answer
    x = 616.21

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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.