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Finding the Fourth Proportional to 686.38, 1,029.33 and 275.56

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Solution

The fourth proportional to 686.38, 1,029.33 and 275.56 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.38 : 1,029.33 = 275.56 : x
  2. Step 2: Convert to fraction form
    686.38/1,029.33 = 275.56/x
  3. Step 3: Cross multiply
    686.38x = 1,029.33 × 275.56
  4. Step 4: Simplify right side
    686.38x = 283,642.17
  5. Step 5: Solve for x
    x = 283,642.17/686.38
  6. Step 6: Final answer
    x = 413.24

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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.