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Finding the Fourth Proportional to 1,101.99, 1,520.83 and 728.33

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Solution

The fourth proportional to 1,101.99, 1,520.83 and 728.33 is: 1,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.99 : 1,520.83 = 728.33 : x
  2. Step 2: Convert to fraction form
    1,101.99/1,520.83 = 728.33/x
  3. Step 3: Cross multiply
    1,101.99x = 1,520.83 × 728.33
  4. Step 4: Simplify right side
    1,101.99x = 1,107,659.42
  5. Step 5: Solve for x
    x = 1,107,659.42/1,101.99
  6. Step 6: Final answer
    x = 1,005.14

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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.