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Finding the Fourth Proportional to 868.25, 1,198.35 and 603.24

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Solution

The fourth proportional to 868.25, 1,198.35 and 603.24 is: 832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.25 : 1,198.35 = 603.24 : x
  2. Step 2: Convert to fraction form
    868.25/1,198.35 = 603.24/x
  3. Step 3: Cross multiply
    868.25x = 1,198.35 × 603.24
  4. Step 4: Simplify right side
    868.25x = 722,892.65
  5. Step 5: Solve for x
    x = 722,892.65/868.25
  6. Step 6: Final answer
    x = 832.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.