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Finding the Fourth Proportional to 835.74, 1,150.74 and 636.75

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Solution

The fourth proportional to 835.74, 1,150.74 and 636.75 is: 876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,150.74 = 636.75 : x
  2. Step 2: Convert to fraction form
    835.74/1,150.74 = 636.75/x
  3. Step 3: Cross multiply
    835.74x = 1,150.74 × 636.75
  4. Step 4: Simplify right side
    835.74x = 732,733.70
  5. Step 5: Solve for x
    x = 732,733.70/835.74
  6. Step 6: Final answer
    x = 876.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.