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Finding the Fourth Proportional to 1,282.28, 1,770.20 and 864.83

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Solution

The fourth proportional to 1,282.28, 1,770.20 and 864.83 is: 1,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.28 : 1,770.20 = 864.83 : x
  2. Step 2: Convert to fraction form
    1,282.28/1,770.20 = 864.83/x
  3. Step 3: Cross multiply
    1,282.28x = 1,770.20 × 864.83
  4. Step 4: Simplify right side
    1,282.28x = 1,530,920.32
  5. Step 5: Solve for x
    x = 1,530,920.32/1,282.28
  6. Step 6: Final answer
    x = 1,193.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.