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Finding the Fourth Proportional to 968.94, 1,452.24 and 482.58

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Solution

The fourth proportional to 968.94, 1,452.24 and 482.58 is: 723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.94 : 1,452.24 = 482.58 : x
  2. Step 2: Convert to fraction form
    968.94/1,452.24 = 482.58/x
  3. Step 3: Cross multiply
    968.94x = 1,452.24 × 482.58
  4. Step 4: Simplify right side
    968.94x = 700,821.98
  5. Step 5: Solve for x
    x = 700,821.98/968.94
  6. Step 6: Final answer
    x = 723.29

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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.