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Finding the Fourth Proportional to 1,083.80, 1,495.71 and 936.78

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Solution

The fourth proportional to 1,083.80, 1,495.71 and 936.78 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.80 : 1,495.71 = 936.78 : x
  2. Step 2: Convert to fraction form
    1,083.80/1,495.71 = 936.78/x
  3. Step 3: Cross multiply
    1,083.80x = 1,495.71 × 936.78
  4. Step 4: Simplify right side
    1,083.80x = 1,401,151.21
  5. Step 5: Solve for x
    x = 1,401,151.21/1,083.80
  6. Step 6: Final answer
    x = 1,292.82

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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.