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Finding the Fourth Proportional to 685.80, 952.80 and 677.61

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Solution

The fourth proportional to 685.80, 952.80 and 677.61 is: 941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 952.80 = 677.61 : x
  2. Step 2: Convert to fraction form
    685.80/952.80 = 677.61/x
  3. Step 3: Cross multiply
    685.80x = 952.80 × 677.61
  4. Step 4: Simplify right side
    685.80x = 645,626.81
  5. Step 5: Solve for x
    x = 645,626.81/685.80
  6. Step 6: Final answer
    x = 941.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.