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Finding the Fourth Proportional to 968.83, 1,452.52 and 482.23

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Solution

The fourth proportional to 968.83, 1,452.52 and 482.23 is: 722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.83 : 1,452.52 = 482.23 : x
  2. Step 2: Convert to fraction form
    968.83/1,452.52 = 482.23/x
  3. Step 3: Cross multiply
    968.83x = 1,452.52 × 482.23
  4. Step 4: Simplify right side
    968.83x = 700,448.72
  5. Step 5: Solve for x
    x = 700,448.72/968.83
  6. Step 6: Final answer
    x = 722.98

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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.