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Finding the Fourth Proportional to 1,100.88, 1,519.19 and 659.09

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Solution

The fourth proportional to 1,100.88, 1,519.19 and 659.09 is: 909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.88 : 1,519.19 = 659.09 : x
  2. Step 2: Convert to fraction form
    1,100.88/1,519.19 = 659.09/x
  3. Step 3: Cross multiply
    1,100.88x = 1,519.19 × 659.09
  4. Step 4: Simplify right side
    1,100.88x = 1,001,272.05
  5. Step 5: Solve for x
    x = 1,001,272.05/1,100.88
  6. Step 6: Final answer
    x = 909.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.