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Finding the Fourth Proportional to 868.10, 1,198.01 and 514.13

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Solution

The fourth proportional to 868.10, 1,198.01 and 514.13 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.10 : 1,198.01 = 514.13 : x
  2. Step 2: Convert to fraction form
    868.10/1,198.01 = 514.13/x
  3. Step 3: Cross multiply
    868.10x = 1,198.01 × 514.13
  4. Step 4: Simplify right side
    868.10x = 615,928.18
  5. Step 5: Solve for x
    x = 615,928.18/868.10
  6. Step 6: Final answer
    x = 709.52

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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.