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Finding the Fourth Proportional to 868.40, 1,198.50 and 536.93

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Solution

The fourth proportional to 868.40, 1,198.50 and 536.93 is: 741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,198.50 = 536.93 : x
  2. Step 2: Convert to fraction form
    868.40/1,198.50 = 536.93/x
  3. Step 3: Cross multiply
    868.40x = 1,198.50 × 536.93
  4. Step 4: Simplify right side
    868.40x = 643,507.09
  5. Step 5: Solve for x
    x = 643,507.09/868.40
  6. Step 6: Final answer
    x = 741.03

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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.