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Finding the Fourth Proportional to 1,100.95, 1,519.25 and 659.09

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Solution

The fourth proportional to 1,100.95, 1,519.25 and 659.09 is: 909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.95 : 1,519.25 = 659.09 : x
  2. Step 2: Convert to fraction form
    1,100.95/1,519.25 = 659.09/x
  3. Step 3: Cross multiply
    1,100.95x = 1,519.25 × 659.09
  4. Step 4: Simplify right side
    1,100.95x = 1,001,322.48
  5. Step 5: Solve for x
    x = 1,001,322.48/1,100.95
  6. Step 6: Final answer
    x = 909.51

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