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Finding the Fourth Proportional to 677.81, 1,016.84 and 215.70

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Solution

The fourth proportional to 677.81, 1,016.84 and 215.70 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 1,016.84 = 215.70 : x
  2. Step 2: Convert to fraction form
    677.81/1,016.84 = 215.70/x
  3. Step 3: Cross multiply
    677.81x = 1,016.84 × 215.70
  4. Step 4: Simplify right side
    677.81x = 219,331.31
  5. Step 5: Solve for x
    x = 219,331.31/677.81
  6. Step 6: Final answer
    x = 323.59

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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.