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Finding the Fourth Proportional to 1,083.77, 1,495.71 and 641.82

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Solution

The fourth proportional to 1,083.77, 1,495.71 and 641.82 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.77 : 1,495.71 = 641.82 : x
  2. Step 2: Convert to fraction form
    1,083.77/1,495.71 = 641.82/x
  3. Step 3: Cross multiply
    1,083.77x = 1,495.71 × 641.82
  4. Step 4: Simplify right side
    1,083.77x = 959,976.59
  5. Step 5: Solve for x
    x = 959,976.59/1,083.77
  6. Step 6: Final answer
    x = 885.78

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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.