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Finding the Fourth Proportional to 1,338.86, 1,845.69 and 896.00

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Solution

The fourth proportional to 1,338.86, 1,845.69 and 896.00 is: 1,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.86 : 1,845.69 = 896.00 : x
  2. Step 2: Convert to fraction form
    1,338.86/1,845.69 = 896.00/x
  3. Step 3: Cross multiply
    1,338.86x = 1,845.69 × 896.00
  4. Step 4: Simplify right side
    1,338.86x = 1,653,725.65
  5. Step 5: Solve for x
    x = 1,653,725.65/1,338.86
  6. Step 6: Final answer
    x = 1,235.17

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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.