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Finding the Fourth Proportional to 1,101.21, 1,519.47 and 659.31

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Solution

The fourth proportional to 1,101.21, 1,519.47 and 659.31 is: 909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.21 : 1,519.47 = 659.31 : x
  2. Step 2: Convert to fraction form
    1,101.21/1,519.47 = 659.31/x
  3. Step 3: Cross multiply
    1,101.21x = 1,519.47 × 659.31
  4. Step 4: Simplify right side
    1,101.21x = 1,001,801.77
  5. Step 5: Solve for x
    x = 1,001,801.77/1,101.21
  6. Step 6: Final answer
    x = 909.73

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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.