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Finding the Fourth Proportional to 686.78, 1,030.17 and 199.83

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Solution

The fourth proportional to 686.78, 1,030.17 and 199.83 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.78 : 1,030.17 = 199.83 : x
  2. Step 2: Convert to fraction form
    686.78/1,030.17 = 199.83/x
  3. Step 3: Cross multiply
    686.78x = 1,030.17 × 199.83
  4. Step 4: Simplify right side
    686.78x = 205,858.01
  5. Step 5: Solve for x
    x = 205,858.01/686.78
  6. Step 6: Final answer
    x = 299.74

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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.