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Finding the Fourth Proportional to 724.88, 1,000.42 and 600.35

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Solution

The fourth proportional to 724.88, 1,000.42 and 600.35 is: 828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.88 : 1,000.42 = 600.35 : x
  2. Step 2: Convert to fraction form
    724.88/1,000.42 = 600.35/x
  3. Step 3: Cross multiply
    724.88x = 1,000.42 × 600.35
  4. Step 4: Simplify right side
    724.88x = 600,595.64
  5. Step 5: Solve for x
    x = 600,595.64/724.88
  6. Step 6: Final answer
    x = 828.54

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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.