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Finding the Fourth Proportional to 686.40, 1,029.47 and 199.46

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Solution

The fourth proportional to 686.40, 1,029.47 and 199.46 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.40 : 1,029.47 = 199.46 : x
  2. Step 2: Convert to fraction form
    686.40/1,029.47 = 199.46/x
  3. Step 3: Cross multiply
    686.40x = 1,029.47 × 199.46
  4. Step 4: Simplify right side
    686.40x = 205,331.94
  5. Step 5: Solve for x
    x = 205,331.94/686.40
  6. Step 6: Final answer
    x = 299.14

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