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Finding the Fourth Proportional to 968.52, 1,452.85 and 581.16

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Solution

The fourth proportional to 968.52, 1,452.85 and 581.16 is: 871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.52 : 1,452.85 = 581.16 : x
  2. Step 2: Convert to fraction form
    968.52/1,452.85 = 581.16/x
  3. Step 3: Cross multiply
    968.52x = 1,452.85 × 581.16
  4. Step 4: Simplify right side
    968.52x = 844,338.31
  5. Step 5: Solve for x
    x = 844,338.31/968.52
  6. Step 6: Final answer
    x = 871.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.