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Finding the Fourth Proportional to 686.74, 1,030.14 and 199.84

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Solution

The fourth proportional to 686.74, 1,030.14 and 199.84 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 1,030.14 = 199.84 : x
  2. Step 2: Convert to fraction form
    686.74/1,030.14 = 199.84/x
  3. Step 3: Cross multiply
    686.74x = 1,030.14 × 199.84
  4. Step 4: Simplify right side
    686.74x = 205,863.18
  5. Step 5: Solve for x
    x = 205,863.18/686.74
  6. Step 6: Final answer
    x = 299.77

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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.