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Finding the Fourth Proportional to 1,101.08, 1,519.61 and 659.09

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Solution

The fourth proportional to 1,101.08, 1,519.61 and 659.09 is: 909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.08 : 1,519.61 = 659.09 : x
  2. Step 2: Convert to fraction form
    1,101.08/1,519.61 = 659.09/x
  3. Step 3: Cross multiply
    1,101.08x = 1,519.61 × 659.09
  4. Step 4: Simplify right side
    1,101.08x = 1,001,548.86
  5. Step 5: Solve for x
    x = 1,001,548.86/1,101.08
  6. Step 6: Final answer
    x = 909.61

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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.