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Finding the Fourth Proportional to 968.21, 1,452.57 and 420.27

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Solution

The fourth proportional to 968.21, 1,452.57 and 420.27 is: 630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.21 : 1,452.57 = 420.27 : x
  2. Step 2: Convert to fraction form
    968.21/1,452.57 = 420.27/x
  3. Step 3: Cross multiply
    968.21x = 1,452.57 × 420.27
  4. Step 4: Simplify right side
    968.21x = 610,471.59
  5. Step 5: Solve for x
    x = 610,471.59/968.21
  6. Step 6: Final answer
    x = 630.52

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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.