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Finding the Fourth Proportional to 677.59, 1,016.54 and 209.11

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Solution

The fourth proportional to 677.59, 1,016.54 and 209.11 is: 313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.59 : 1,016.54 = 209.11 : x
  2. Step 2: Convert to fraction form
    677.59/1,016.54 = 209.11/x
  3. Step 3: Cross multiply
    677.59x = 1,016.54 × 209.11
  4. Step 4: Simplify right side
    677.59x = 212,568.68
  5. Step 5: Solve for x
    x = 212,568.68/677.59
  6. Step 6: Final answer
    x = 313.71

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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.