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Finding the Fourth Proportional to 1,107.61, 1,661.80 and 491.37

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Solution

The fourth proportional to 1,107.61, 1,661.80 and 491.37 is: 737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.61 : 1,661.80 = 491.37 : x
  2. Step 2: Convert to fraction form
    1,107.61/1,661.80 = 491.37/x
  3. Step 3: Cross multiply
    1,107.61x = 1,661.80 × 491.37
  4. Step 4: Simplify right side
    1,107.61x = 816,550.36
  5. Step 5: Solve for x
    x = 816,550.36/1,107.61
  6. Step 6: Final answer
    x = 737.22

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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.