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Finding the Fourth Proportional to 889.20, 1,333.10 and 614.49

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Solution

The fourth proportional to 889.20, 1,333.10 and 614.49 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.20 : 1,333.10 = 614.49 : x
  2. Step 2: Convert to fraction form
    889.20/1,333.10 = 614.49/x
  3. Step 3: Cross multiply
    889.20x = 1,333.10 × 614.49
  4. Step 4: Simplify right side
    889.20x = 819,173.55
  5. Step 5: Solve for x
    x = 819,173.55/889.20
  6. Step 6: Final answer
    x = 921.25

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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.