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Finding the Fourth Proportional to 1,107.82, 1,661.75 and 286.11

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Solution

The fourth proportional to 1,107.82, 1,661.75 and 286.11 is: 429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.82 : 1,661.75 = 286.11 : x
  2. Step 2: Convert to fraction form
    1,107.82/1,661.75 = 286.11/x
  3. Step 3: Cross multiply
    1,107.82x = 1,661.75 × 286.11
  4. Step 4: Simplify right side
    1,107.82x = 475,443.29
  5. Step 5: Solve for x
    x = 475,443.29/1,107.82
  6. Step 6: Final answer
    x = 429.17

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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.