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Finding the Fourth Proportional to 968.19, 1,452.14 and 274.71

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Solution

The fourth proportional to 968.19, 1,452.14 and 274.71 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.19 : 1,452.14 = 274.71 : x
  2. Step 2: Convert to fraction form
    968.19/1,452.14 = 274.71/x
  3. Step 3: Cross multiply
    968.19x = 1,452.14 × 274.71
  4. Step 4: Simplify right side
    968.19x = 398,916.01
  5. Step 5: Solve for x
    x = 398,916.01/968.19
  6. Step 6: Final answer
    x = 412.02

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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.