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Finding the Fourth Proportional to 868.64, 1,198.60 and 537.08

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Solution

The fourth proportional to 868.64, 1,198.60 and 537.08 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,198.60 = 537.08 : x
  2. Step 2: Convert to fraction form
    868.64/1,198.60 = 537.08/x
  3. Step 3: Cross multiply
    868.64x = 1,198.60 × 537.08
  4. Step 4: Simplify right side
    868.64x = 643,736.75
  5. Step 5: Solve for x
    x = 643,736.75/868.64
  6. Step 6: Final answer
    x = 741.09

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Why These Related Problems?

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