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Finding the Fourth Proportional to 1,033.22, 1,542.39 and 885.38

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Solution

The fourth proportional to 1,033.22, 1,542.39 and 885.38 is: 1,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.22 : 1,542.39 = 885.38 : x
  2. Step 2: Convert to fraction form
    1,033.22/1,542.39 = 885.38/x
  3. Step 3: Cross multiply
    1,033.22x = 1,542.39 × 885.38
  4. Step 4: Simplify right side
    1,033.22x = 1,365,593.55
  5. Step 5: Solve for x
    x = 1,365,593.55/1,033.22
  6. Step 6: Final answer
    x = 1,321.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.