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Finding the Fourth Proportional to 1,115.88, 1,533.46 and 905.61

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Solution

The fourth proportional to 1,115.88, 1,533.46 and 905.61 is: 1,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.88 : 1,533.46 = 905.61 : x
  2. Step 2: Convert to fraction form
    1,115.88/1,533.46 = 905.61/x
  3. Step 3: Cross multiply
    1,115.88x = 1,533.46 × 905.61
  4. Step 4: Simplify right side
    1,115.88x = 1,388,716.71
  5. Step 5: Solve for x
    x = 1,388,716.71/1,115.88
  6. Step 6: Final answer
    x = 1,244.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.