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Finding the Fourth Proportional to 685.62, 1,026.81 and 411.30

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Solution

The fourth proportional to 685.62, 1,026.81 and 411.30 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.62 : 1,026.81 = 411.30 : x
  2. Step 2: Convert to fraction form
    685.62/1,026.81 = 411.30/x
  3. Step 3: Cross multiply
    685.62x = 1,026.81 × 411.30
  4. Step 4: Simplify right side
    685.62x = 422,326.95
  5. Step 5: Solve for x
    x = 422,326.95/685.62
  6. Step 6: Final answer
    x = 615.98

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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.