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Finding the Fourth Proportional to 1,592.85, 2,198.07 and 884.75

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Solution

The fourth proportional to 1,592.85, 2,198.07 and 884.75 is: 1,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.85 : 2,198.07 = 884.75 : x
  2. Step 2: Convert to fraction form
    1,592.85/2,198.07 = 884.75/x
  3. Step 3: Cross multiply
    1,592.85x = 2,198.07 × 884.75
  4. Step 4: Simplify right side
    1,592.85x = 1,944,731.12
  5. Step 5: Solve for x
    x = 1,944,731.12/1,592.85
  6. Step 6: Final answer
    x = 1,220.91

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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.