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Finding the Fourth Proportional to 835.92, 1,155.87 and 713.61

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Solution

The fourth proportional to 835.92, 1,155.87 and 713.61 is: 986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,155.87 = 713.61 : x
  2. Step 2: Convert to fraction form
    835.92/1,155.87 = 713.61/x
  3. Step 3: Cross multiply
    835.92x = 1,155.87 × 713.61
  4. Step 4: Simplify right side
    835.92x = 824,840.39
  5. Step 5: Solve for x
    x = 824,840.39/835.92
  6. Step 6: Final answer
    x = 986.75

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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.