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Finding the Fourth Proportional to 835.76, 1,255.94 and 781.58

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Solution

The fourth proportional to 835.76, 1,255.94 and 781.58 is: 1,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.76 : 1,255.94 = 781.58 : x
  2. Step 2: Convert to fraction form
    835.76/1,255.94 = 781.58/x
  3. Step 3: Cross multiply
    835.76x = 1,255.94 × 781.58
  4. Step 4: Simplify right side
    835.76x = 981,617.59
  5. Step 5: Solve for x
    x = 981,617.59/835.76
  6. Step 6: Final answer
    x = 1,174.52

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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.