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Finding the Fourth Proportional to 1,101.13, 1,519.48 and 659.03

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Solution

The fourth proportional to 1,101.13, 1,519.48 and 659.03 is: 909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.13 : 1,519.48 = 659.03 : x
  2. Step 2: Convert to fraction form
    1,101.13/1,519.48 = 659.03/x
  3. Step 3: Cross multiply
    1,101.13x = 1,519.48 × 659.03
  4. Step 4: Simplify right side
    1,101.13x = 1,001,385.06
  5. Step 5: Solve for x
    x = 1,001,385.06/1,101.13
  6. Step 6: Final answer
    x = 909.42

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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.