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Finding the Fourth Proportional to 677.60, 1,016.80 and 292.85

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Solution

The fourth proportional to 677.60, 1,016.80 and 292.85 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,016.80 = 292.85 : x
  2. Step 2: Convert to fraction form
    677.60/1,016.80 = 292.85/x
  3. Step 3: Cross multiply
    677.60x = 1,016.80 × 292.85
  4. Step 4: Simplify right side
    677.60x = 297,764.06
  5. Step 5: Solve for x
    x = 297,764.06/677.60
  6. Step 6: Final answer
    x = 439.44

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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.