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Finding the Fourth Proportional to 968.67, 1,452.24 and 529.65

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Solution

The fourth proportional to 968.67, 1,452.24 and 529.65 is: 794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.67 : 1,452.24 = 529.65 : x
  2. Step 2: Convert to fraction form
    968.67/1,452.24 = 529.65/x
  3. Step 3: Cross multiply
    968.67x = 1,452.24 × 529.65
  4. Step 4: Simplify right side
    968.67x = 769,178.92
  5. Step 5: Solve for x
    x = 769,178.92/968.67
  6. Step 6: Final answer
    x = 794.06

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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.