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Finding the Fourth Proportional to 728.34, 1,092.34 and 208.33

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Solution

The fourth proportional to 728.34, 1,092.34 and 208.33 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.34 : 1,092.34 = 208.33 : x
  2. Step 2: Convert to fraction form
    728.34/1,092.34 = 208.33/x
  3. Step 3: Cross multiply
    728.34x = 1,092.34 × 208.33
  4. Step 4: Simplify right side
    728.34x = 227,567.19
  5. Step 5: Solve for x
    x = 227,567.19/728.34
  6. Step 6: Final answer
    x = 312.45

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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.