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Finding the Fourth Proportional to 724.22, 1,086.18 and 395

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Solution

The fourth proportional to 724.22, 1,086.18 and 395 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.22 : 1,086.18 = 395 : x
  2. Step 2: Convert to fraction form
    724.22/1,086.18 = 395/x
  3. Step 3: Cross multiply
    724.22x = 1,086.18 × 395
  4. Step 4: Simplify right side
    724.22x = 429,041.10
  5. Step 5: Solve for x
    x = 429,041.10/724.22
  6. Step 6: Final answer
    x = 592.42

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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.