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Finding the Fourth Proportional to 724.98, 1,000.83 and 445.28

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Solution

The fourth proportional to 724.98, 1,000.83 and 445.28 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.98 : 1,000.83 = 445.28 : x
  2. Step 2: Convert to fraction form
    724.98/1,000.83 = 445.28/x
  3. Step 3: Cross multiply
    724.98x = 1,000.83 × 445.28
  4. Step 4: Simplify right side
    724.98x = 445,650.63
  5. Step 5: Solve for x
    x = 445,650.63/724.98
  6. Step 6: Final answer
    x = 614.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.