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Finding the Fourth Proportional to 685.86, 1,029.29 and 275.11

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Solution

The fourth proportional to 685.86, 1,029.29 and 275.11 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 1,029.29 = 275.11 : x
  2. Step 2: Convert to fraction form
    685.86/1,029.29 = 275.11/x
  3. Step 3: Cross multiply
    685.86x = 1,029.29 × 275.11
  4. Step 4: Simplify right side
    685.86x = 283,167.97
  5. Step 5: Solve for x
    x = 283,167.97/685.86
  6. Step 6: Final answer
    x = 412.87

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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.