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Finding the Fourth Proportional to 968.16, 1,452.30 and 391.02

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Solution

The fourth proportional to 968.16, 1,452.30 and 391.02 is: 586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,452.30 = 391.02 : x
  2. Step 2: Convert to fraction form
    968.16/1,452.30 = 391.02/x
  3. Step 3: Cross multiply
    968.16x = 1,452.30 × 391.02
  4. Step 4: Simplify right side
    968.16x = 567,878.35
  5. Step 5: Solve for x
    x = 567,878.35/968.16
  6. Step 6: Final answer
    x = 586.55

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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.