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Finding the Fourth Proportional to 724.07, 1,086.31 and 377.66

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Solution

The fourth proportional to 724.07, 1,086.31 and 377.66 is: 566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.07 : 1,086.31 = 377.66 : x
  2. Step 2: Convert to fraction form
    724.07/1,086.31 = 377.66/x
  3. Step 3: Cross multiply
    724.07x = 1,086.31 × 377.66
  4. Step 4: Simplify right side
    724.07x = 410,259.02
  5. Step 5: Solve for x
    x = 410,259.02/724.07
  6. Step 6: Final answer
    x = 566.60

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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.