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Finding the Fourth Proportional to 1,188.87, 1,782.37 and 726.87

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Solution

The fourth proportional to 1,188.87, 1,782.37 and 726.87 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.87 : 1,782.37 = 726.87 : x
  2. Step 2: Convert to fraction form
    1,188.87/1,782.37 = 726.87/x
  3. Step 3: Cross multiply
    1,188.87x = 1,782.37 × 726.87
  4. Step 4: Simplify right side
    1,188.87x = 1,295,551.28
  5. Step 5: Solve for x
    x = 1,295,551.28/1,188.87
  6. Step 6: Final answer
    x = 1,089.73

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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.