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Finding the Fourth Proportional to 686.38, 1,029.59 and 173.38

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Solution

The fourth proportional to 686.38, 1,029.59 and 173.38 is: 260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.38 : 1,029.59 = 173.38 : x
  2. Step 2: Convert to fraction form
    686.38/1,029.59 = 173.38/x
  3. Step 3: Cross multiply
    686.38x = 1,029.59 × 173.38
  4. Step 4: Simplify right side
    686.38x = 178,510.31
  5. Step 5: Solve for x
    x = 178,510.31/686.38
  6. Step 6: Final answer
    x = 260.08

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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.