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Finding the Fourth Proportional to 677.85, 1,015.99 and 287.60

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Solution

The fourth proportional to 677.85, 1,015.99 and 287.60 is: 431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.85 : 1,015.99 = 287.60 : x
  2. Step 2: Convert to fraction form
    677.85/1,015.99 = 287.60/x
  3. Step 3: Cross multiply
    677.85x = 1,015.99 × 287.60
  4. Step 4: Simplify right side
    677.85x = 292,198.72
  5. Step 5: Solve for x
    x = 292,198.72/677.85
  6. Step 6: Final answer
    x = 431.07

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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.