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Finding the Fourth Proportional to 1,083.69, 1,495.43 and 641.73

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Solution

The fourth proportional to 1,083.69, 1,495.43 and 641.73 is: 885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.69 : 1,495.43 = 641.73 : x
  2. Step 2: Convert to fraction form
    1,083.69/1,495.43 = 641.73/x
  3. Step 3: Cross multiply
    1,083.69x = 1,495.43 × 641.73
  4. Step 4: Simplify right side
    1,083.69x = 959,662.29
  5. Step 5: Solve for x
    x = 959,662.29/1,083.69
  6. Step 6: Final answer
    x = 885.55

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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.