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Finding the Fourth Proportional to 867.68, 1,198.14 and 572.84

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Solution

The fourth proportional to 867.68, 1,198.14 and 572.84 is: 791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.68 : 1,198.14 = 572.84 : x
  2. Step 2: Convert to fraction form
    867.68/1,198.14 = 572.84/x
  3. Step 3: Cross multiply
    867.68x = 1,198.14 × 572.84
  4. Step 4: Simplify right side
    867.68x = 686,342.52
  5. Step 5: Solve for x
    x = 686,342.52/867.68
  6. Step 6: Final answer
    x = 791.01

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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.