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Finding the Fourth Proportional to 968.05, 1,452.12 and 318.79

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Solution

The fourth proportional to 968.05, 1,452.12 and 318.79 is: 478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.05 : 1,452.12 = 318.79 : x
  2. Step 2: Convert to fraction form
    968.05/1,452.12 = 318.79/x
  3. Step 3: Cross multiply
    968.05x = 1,452.12 × 318.79
  4. Step 4: Simplify right side
    968.05x = 462,921.33
  5. Step 5: Solve for x
    x = 462,921.33/968.05
  6. Step 6: Final answer
    x = 478.20

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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.