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Finding the Fourth Proportional to 1,107.93, 1,661.65 and 327.99

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Solution

The fourth proportional to 1,107.93, 1,661.65 and 327.99 is: 491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.93 : 1,661.65 = 327.99 : x
  2. Step 2: Convert to fraction form
    1,107.93/1,661.65 = 327.99/x
  3. Step 3: Cross multiply
    1,107.93x = 1,661.65 × 327.99
  4. Step 4: Simplify right side
    1,107.93x = 545,003.76
  5. Step 5: Solve for x
    x = 545,003.76/1,107.93
  6. Step 6: Final answer
    x = 491.91

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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.