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Finding the Fourth Proportional to 1,359.05, 1,874.95 and 834.17

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Solution

The fourth proportional to 1,359.05, 1,874.95 and 834.17 is: 1,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.05 : 1,874.95 = 834.17 : x
  2. Step 2: Convert to fraction form
    1,359.05/1,874.95 = 834.17/x
  3. Step 3: Cross multiply
    1,359.05x = 1,874.95 × 834.17
  4. Step 4: Simplify right side
    1,359.05x = 1,564,015.58
  5. Step 5: Solve for x
    x = 1,564,015.58/1,359.05
  6. Step 6: Final answer
    x = 1,150.82

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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.