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Finding the Fourth Proportional to 724.80, 1,086.72 and 313.92

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Solution

The fourth proportional to 724.80, 1,086.72 and 313.92 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 1,086.72 = 313.92 : x
  2. Step 2: Convert to fraction form
    724.80/1,086.72 = 313.92/x
  3. Step 3: Cross multiply
    724.80x = 1,086.72 × 313.92
  4. Step 4: Simplify right side
    724.80x = 341,143.14
  5. Step 5: Solve for x
    x = 341,143.14/724.80
  6. Step 6: Final answer
    x = 470.67

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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.