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Finding the Fourth Proportional to 680.34, 1,019.88 and 247.40

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Solution

The fourth proportional to 680.34, 1,019.88 and 247.40 is: 370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,019.88 = 247.40 : x
  2. Step 2: Convert to fraction form
    680.34/1,019.88 = 247.40/x
  3. Step 3: Cross multiply
    680.34x = 1,019.88 × 247.40
  4. Step 4: Simplify right side
    680.34x = 252,318.31
  5. Step 5: Solve for x
    x = 252,318.31/680.34
  6. Step 6: Final answer
    x = 370.87

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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.