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Finding the Fourth Proportional to 836.98, 1,155.81 and 641.77

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Solution

The fourth proportional to 836.98, 1,155.81 and 641.77 is: 886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.98 : 1,155.81 = 641.77 : x
  2. Step 2: Convert to fraction form
    836.98/1,155.81 = 641.77/x
  3. Step 3: Cross multiply
    836.98x = 1,155.81 × 641.77
  4. Step 4: Simplify right side
    836.98x = 741,764.18
  5. Step 5: Solve for x
    x = 741,764.18/836.98
  6. Step 6: Final answer
    x = 886.24

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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.