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Finding the Fourth Proportional to 1,107.28, 1,660.89 and 376.66

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Solution

The fourth proportional to 1,107.28, 1,660.89 and 376.66 is: 564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.28 : 1,660.89 = 376.66 : x
  2. Step 2: Convert to fraction form
    1,107.28/1,660.89 = 376.66/x
  3. Step 3: Cross multiply
    1,107.28x = 1,660.89 × 376.66
  4. Step 4: Simplify right side
    1,107.28x = 625,590.83
  5. Step 5: Solve for x
    x = 625,590.83/1,107.28
  6. Step 6: Final answer
    x = 564.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.