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Finding the Fourth Proportional to 728.53, 1,092.99 and 235.01

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Solution

The fourth proportional to 728.53, 1,092.99 and 235.01 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.53 : 1,092.99 = 235.01 : x
  2. Step 2: Convert to fraction form
    728.53/1,092.99 = 235.01/x
  3. Step 3: Cross multiply
    728.53x = 1,092.99 × 235.01
  4. Step 4: Simplify right side
    728.53x = 256,868.73
  5. Step 5: Solve for x
    x = 256,868.73/728.53
  6. Step 6: Final answer
    x = 352.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.