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Finding the Fourth Proportional to 868.10, 1,198.32 and 536.66

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Solution

The fourth proportional to 868.10, 1,198.32 and 536.66 is: 740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.10 : 1,198.32 = 536.66 : x
  2. Step 2: Convert to fraction form
    868.10/1,198.32 = 536.66/x
  3. Step 3: Cross multiply
    868.10x = 1,198.32 × 536.66
  4. Step 4: Simplify right side
    868.10x = 643,090.41
  5. Step 5: Solve for x
    x = 643,090.41/868.10
  6. Step 6: Final answer
    x = 740.80

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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.