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Finding the Fourth Proportional to 686.55, 1,029.79 and 199.65

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Solution

The fourth proportional to 686.55, 1,029.79 and 199.65 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.55 : 1,029.79 = 199.65 : x
  2. Step 2: Convert to fraction form
    686.55/1,029.79 = 199.65/x
  3. Step 3: Cross multiply
    686.55x = 1,029.79 × 199.65
  4. Step 4: Simplify right side
    686.55x = 205,597.57
  5. Step 5: Solve for x
    x = 205,597.57/686.55
  6. Step 6: Final answer
    x = 299.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.