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Finding the Fourth Proportional to 698.20, 1,046.38 and 286.77

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Solution

The fourth proportional to 698.20, 1,046.38 and 286.77 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 1,046.38 = 286.77 : x
  2. Step 2: Convert to fraction form
    698.20/1,046.38 = 286.77/x
  3. Step 3: Cross multiply
    698.20x = 1,046.38 × 286.77
  4. Step 4: Simplify right side
    698.20x = 300,070.39
  5. Step 5: Solve for x
    x = 300,070.39/698.20
  6. Step 6: Final answer
    x = 429.78

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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.