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Finding the Fourth Proportional to 968.25, 1,452.88 and 529.82

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Solution

The fourth proportional to 968.25, 1,452.88 and 529.82 is: 795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.25 : 1,452.88 = 529.82 : x
  2. Step 2: Convert to fraction form
    968.25/1,452.88 = 529.82/x
  3. Step 3: Cross multiply
    968.25x = 1,452.88 × 529.82
  4. Step 4: Simplify right side
    968.25x = 769,757.62
  5. Step 5: Solve for x
    x = 769,757.62/968.25
  6. Step 6: Final answer
    x = 795.00

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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.