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Finding the Fourth Proportional to 698.28, 1,046.70 and 408.84

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Solution

The fourth proportional to 698.28, 1,046.70 and 408.84 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 1,046.70 = 408.84 : x
  2. Step 2: Convert to fraction form
    698.28/1,046.70 = 408.84/x
  3. Step 3: Cross multiply
    698.28x = 1,046.70 × 408.84
  4. Step 4: Simplify right side
    698.28x = 427,932.83
  5. Step 5: Solve for x
    x = 427,932.83/698.28
  6. Step 6: Final answer
    x = 612.84

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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.