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Finding the Fourth Proportional to 1,452.89, 2,004.33 and 863.07

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Solution

The fourth proportional to 1,452.89, 2,004.33 and 863.07 is: 1,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.89 : 2,004.33 = 863.07 : x
  2. Step 2: Convert to fraction form
    1,452.89/2,004.33 = 863.07/x
  3. Step 3: Cross multiply
    1,452.89x = 2,004.33 × 863.07
  4. Step 4: Simplify right side
    1,452.89x = 1,729,877.09
  5. Step 5: Solve for x
    x = 1,729,877.09/1,452.89
  6. Step 6: Final answer
    x = 1,190.65

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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.