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Finding the Fourth Proportional to 723.85, 1,086.28 and 313.27

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Solution

The fourth proportional to 723.85, 1,086.28 and 313.27 is: 470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.85 : 1,086.28 = 313.27 : x
  2. Step 2: Convert to fraction form
    723.85/1,086.28 = 313.27/x
  3. Step 3: Cross multiply
    723.85x = 1,086.28 × 313.27
  4. Step 4: Simplify right side
    723.85x = 340,295.44
  5. Step 5: Solve for x
    x = 340,295.44/723.85
  6. Step 6: Final answer
    x = 470.12

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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.