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Finding the Fourth Proportional to 1,107.56, 1,660.78 and 376.91

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Solution

The fourth proportional to 1,107.56, 1,660.78 and 376.91 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.56 : 1,660.78 = 376.91 : x
  2. Step 2: Convert to fraction form
    1,107.56/1,660.78 = 376.91/x
  3. Step 3: Cross multiply
    1,107.56x = 1,660.78 × 376.91
  4. Step 4: Simplify right side
    1,107.56x = 625,964.59
  5. Step 5: Solve for x
    x = 625,964.59/1,107.56
  6. Step 6: Final answer
    x = 565.17

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Why These Related Problems?

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