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Finding the Fourth Proportional to 868.62, 1,198.80 and 509.76

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Solution

The fourth proportional to 868.62, 1,198.80 and 509.76 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.62 : 1,198.80 = 509.76 : x
  2. Step 2: Convert to fraction form
    868.62/1,198.80 = 509.76/x
  3. Step 3: Cross multiply
    868.62x = 1,198.80 × 509.76
  4. Step 4: Simplify right side
    868.62x = 611,100.29
  5. Step 5: Solve for x
    x = 611,100.29/868.62
  6. Step 6: Final answer
    x = 703.53

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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.