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Finding the Fourth Proportional to 1,282.43, 1,767.14 and 884.22

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Solution

The fourth proportional to 1,282.43, 1,767.14 and 884.22 is: 1,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.43 : 1,767.14 = 884.22 : x
  2. Step 2: Convert to fraction form
    1,282.43/1,767.14 = 884.22/x
  3. Step 3: Cross multiply
    1,282.43x = 1,767.14 × 884.22
  4. Step 4: Simplify right side
    1,282.43x = 1,562,535.29
  5. Step 5: Solve for x
    x = 1,562,535.29/1,282.43
  6. Step 6: Final answer
    x = 1,218.42

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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.