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Finding the Fourth Proportional to 698.00, 1,046.79 and 327.78

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Solution

The fourth proportional to 698.00, 1,046.79 and 327.78 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.00 : 1,046.79 = 327.78 : x
  2. Step 2: Convert to fraction form
    698.00/1,046.79 = 327.78/x
  3. Step 3: Cross multiply
    698.00x = 1,046.79 × 327.78
  4. Step 4: Simplify right side
    698.00x = 343,116.83
  5. Step 5: Solve for x
    x = 343,116.83/698.00
  6. Step 6: Final answer
    x = 491.57

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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.