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Finding the Fourth Proportional to 685.10, 1,028.04 and 411.86

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Solution

The fourth proportional to 685.10, 1,028.04 and 411.86 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.10 : 1,028.04 = 411.86 : x
  2. Step 2: Convert to fraction form
    685.10/1,028.04 = 411.86/x
  3. Step 3: Cross multiply
    685.10x = 1,028.04 × 411.86
  4. Step 4: Simplify right side
    685.10x = 423,408.55
  5. Step 5: Solve for x
    x = 423,408.55/685.10
  6. Step 6: Final answer
    x = 618.02

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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.