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Finding the Fourth Proportional to 724.14, 1,086.40 and 313.18

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Solution

The fourth proportional to 724.14, 1,086.40 and 313.18 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,086.40 = 313.18 : x
  2. Step 2: Convert to fraction form
    724.14/1,086.40 = 313.18/x
  3. Step 3: Cross multiply
    724.14x = 1,086.40 × 313.18
  4. Step 4: Simplify right side
    724.14x = 340,243.42
  5. Step 5: Solve for x
    x = 340,243.42/724.14
  6. Step 6: Final answer
    x = 469.86

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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.