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Finding the Fourth Proportional to 968.88, 1,452.99 and 420.91

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Solution

The fourth proportional to 968.88, 1,452.99 and 420.91 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.88 : 1,452.99 = 420.91 : x
  2. Step 2: Convert to fraction form
    968.88/1,452.99 = 420.91/x
  3. Step 3: Cross multiply
    968.88x = 1,452.99 × 420.91
  4. Step 4: Simplify right side
    968.88x = 611,578.02
  5. Step 5: Solve for x
    x = 611,578.02/968.88
  6. Step 6: Final answer
    x = 631.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.