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Finding the Fourth Proportional to 724.90, 1,086.15 and 450.23

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Solution

The fourth proportional to 724.90, 1,086.15 and 450.23 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.90 : 1,086.15 = 450.23 : x
  2. Step 2: Convert to fraction form
    724.90/1,086.15 = 450.23/x
  3. Step 3: Cross multiply
    724.90x = 1,086.15 × 450.23
  4. Step 4: Simplify right side
    724.90x = 489,017.31
  5. Step 5: Solve for x
    x = 489,017.31/724.90
  6. Step 6: Final answer
    x = 674.60

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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.