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Finding the Fourth Proportional to 1,107.24, 1,659.86 and 376.65

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Solution

The fourth proportional to 1,107.24, 1,659.86 and 376.65 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.24 : 1,659.86 = 376.65 : x
  2. Step 2: Convert to fraction form
    1,107.24/1,659.86 = 376.65/x
  3. Step 3: Cross multiply
    1,107.24x = 1,659.86 × 376.65
  4. Step 4: Simplify right side
    1,107.24x = 625,185.80
  5. Step 5: Solve for x
    x = 625,185.80/1,107.24
  6. Step 6: Final answer
    x = 564.64

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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.