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Finding the Fourth Proportional to 724.16, 1,086.56 and 313.40

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Solution

The fourth proportional to 724.16, 1,086.56 and 313.40 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 1,086.56 = 313.40 : x
  2. Step 2: Convert to fraction form
    724.16/1,086.56 = 313.40/x
  3. Step 3: Cross multiply
    724.16x = 1,086.56 × 313.40
  4. Step 4: Simplify right side
    724.16x = 340,527.90
  5. Step 5: Solve for x
    x = 340,527.90/724.16
  6. Step 6: Final answer
    x = 470.24

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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.