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Finding the Fourth Proportional to 1,452.27, 2,004.12 and 884.94

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Solution

The fourth proportional to 1,452.27, 2,004.12 and 884.94 is: 1,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.27 : 2,004.12 = 884.94 : x
  2. Step 2: Convert to fraction form
    1,452.27/2,004.12 = 884.94/x
  3. Step 3: Cross multiply
    1,452.27x = 2,004.12 × 884.94
  4. Step 4: Simplify right side
    1,452.27x = 1,773,525.95
  5. Step 5: Solve for x
    x = 1,773,525.95/1,452.27
  6. Step 6: Final answer
    x = 1,221.21

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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.