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Finding the Fourth Proportional to 1,593.28, 2,198.71 and 885.12

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Solution

The fourth proportional to 1,593.28, 2,198.71 and 885.12 is: 1,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.28 : 2,198.71 = 885.12 : x
  2. Step 2: Convert to fraction form
    1,593.28/2,198.71 = 885.12/x
  3. Step 3: Cross multiply
    1,593.28x = 2,198.71 × 885.12
  4. Step 4: Simplify right side
    1,593.28x = 1,946,122.20
  5. Step 5: Solve for x
    x = 1,946,122.20/1,593.28
  6. Step 6: Final answer
    x = 1,221.46

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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.