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Finding the Fourth Proportional to 868.50, 1,198.66 and 536.91

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Solution

The fourth proportional to 868.50, 1,198.66 and 536.91 is: 741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.50 : 1,198.66 = 536.91 : x
  2. Step 2: Convert to fraction form
    868.50/1,198.66 = 536.91/x
  3. Step 3: Cross multiply
    868.50x = 1,198.66 × 536.91
  4. Step 4: Simplify right side
    868.50x = 643,563.86
  5. Step 5: Solve for x
    x = 643,563.86/868.50
  6. Step 6: Final answer
    x = 741.01

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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.