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Finding the Fourth Proportional to 835.80, 1,250.82 and 643.80

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Solution

The fourth proportional to 835.80, 1,250.82 and 643.80 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,250.82 = 643.80 : x
  2. Step 2: Convert to fraction form
    835.80/1,250.82 = 643.80/x
  3. Step 3: Cross multiply
    835.80x = 1,250.82 × 643.80
  4. Step 4: Simplify right side
    835.80x = 805,277.92
  5. Step 5: Solve for x
    x = 805,277.92/835.80
  6. Step 6: Final answer
    x = 963.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.