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Finding the Fourth Proportional to 835.99, 1,252.73 and 527.11

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Solution

The fourth proportional to 835.99, 1,252.73 and 527.11 is: 789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,252.73 = 527.11 : x
  2. Step 2: Convert to fraction form
    835.99/1,252.73 = 527.11/x
  3. Step 3: Cross multiply
    835.99x = 1,252.73 × 527.11
  4. Step 4: Simplify right side
    835.99x = 660,324.70
  5. Step 5: Solve for x
    x = 660,324.70/835.99
  6. Step 6: Final answer
    x = 789.87

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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.