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Finding the Fourth Proportional to 680.81, 1,020.44 and 314.82

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Solution

The fourth proportional to 680.81, 1,020.44 and 314.82 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 1,020.44 = 314.82 : x
  2. Step 2: Convert to fraction form
    680.81/1,020.44 = 314.82/x
  3. Step 3: Cross multiply
    680.81x = 1,020.44 × 314.82
  4. Step 4: Simplify right side
    680.81x = 321,253.35
  5. Step 5: Solve for x
    x = 321,253.35/680.81
  6. Step 6: Final answer
    x = 471.87

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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.