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Finding the Fourth Proportional to 959.20, 1,438.80 and 854.80

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Solution

The fourth proportional to 959.20, 1,438.80 and 854.80 is: 1,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.20 : 1,438.80 = 854.80 : x
  2. Step 2: Convert to fraction form
    959.20/1,438.80 = 854.80/x
  3. Step 3: Cross multiply
    959.20x = 1,438.80 × 854.80
  4. Step 4: Simplify right side
    959.20x = 1,229,886.24
  5. Step 5: Solve for x
    x = 1,229,886.24/959.20
  6. Step 6: Final answer
    x = 1,282.20

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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.