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Finding the Fourth Proportional to 1,083.29, 1,495.66 and 834.17

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Solution

The fourth proportional to 1,083.29, 1,495.66 and 834.17 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.29 : 1,495.66 = 834.17 : x
  2. Step 2: Convert to fraction form
    1,083.29/1,495.66 = 834.17/x
  3. Step 3: Cross multiply
    1,083.29x = 1,495.66 × 834.17
  4. Step 4: Simplify right side
    1,083.29x = 1,247,634.70
  5. Step 5: Solve for x
    x = 1,247,634.70/1,083.29
  6. Step 6: Final answer
    x = 1,151.71

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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.