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Finding the Fourth Proportional to 835.66, 1,254.30 and 789.76

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Solution

The fourth proportional to 835.66, 1,254.30 and 789.76 is: 1,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,254.30 = 789.76 : x
  2. Step 2: Convert to fraction form
    835.66/1,254.30 = 789.76/x
  3. Step 3: Cross multiply
    835.66x = 1,254.30 × 789.76
  4. Step 4: Simplify right side
    835.66x = 990,595.97
  5. Step 5: Solve for x
    x = 990,595.97/835.66
  6. Step 6: Final answer
    x = 1,185.41

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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.