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Finding the Fourth Proportional to 968.47, 1,452.53 and 274.97

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Solution

The fourth proportional to 968.47, 1,452.53 and 274.97 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.47 : 1,452.53 = 274.97 : x
  2. Step 2: Convert to fraction form
    968.47/1,452.53 = 274.97/x
  3. Step 3: Cross multiply
    968.47x = 1,452.53 × 274.97
  4. Step 4: Simplify right side
    968.47x = 399,406.32
  5. Step 5: Solve for x
    x = 399,406.32/968.47
  6. Step 6: Final answer
    x = 412.41

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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.