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Finding the Fourth Proportional to 868.35, 1,198.28 and 536.81

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Solution

The fourth proportional to 868.35, 1,198.28 and 536.81 is: 740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.35 : 1,198.28 = 536.81 : x
  2. Step 2: Convert to fraction form
    868.35/1,198.28 = 536.81/x
  3. Step 3: Cross multiply
    868.35x = 1,198.28 × 536.81
  4. Step 4: Simplify right side
    868.35x = 643,248.69
  5. Step 5: Solve for x
    x = 643,248.69/868.35
  6. Step 6: Final answer
    x = 740.77

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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.