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Finding the Fourth Proportional to 686.18, 1,028.06 and 360.56

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Solution

The fourth proportional to 686.18, 1,028.06 and 360.56 is: 540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.18 : 1,028.06 = 360.56 : x
  2. Step 2: Convert to fraction form
    686.18/1,028.06 = 360.56/x
  3. Step 3: Cross multiply
    686.18x = 1,028.06 × 360.56
  4. Step 4: Simplify right side
    686.18x = 370,677.31
  5. Step 5: Solve for x
    x = 370,677.31/686.18
  6. Step 6: Final answer
    x = 540.20

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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.