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Finding the Fourth Proportional to 1,282.80, 1,922.78 and 844.22

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Solution

The fourth proportional to 1,282.80, 1,922.78 and 844.22 is: 1,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.80 : 1,922.78 = 844.22 : x
  2. Step 2: Convert to fraction form
    1,282.80/1,922.78 = 844.22/x
  3. Step 3: Cross multiply
    1,282.80x = 1,922.78 × 844.22
  4. Step 4: Simplify right side
    1,282.80x = 1,623,249.33
  5. Step 5: Solve for x
    x = 1,623,249.33/1,282.80
  6. Step 6: Final answer
    x = 1,265.40

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1.5x scale

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.