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Finding the Fourth Proportional to 728.03, 1,092.35 and 316.96

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Solution

The fourth proportional to 728.03, 1,092.35 and 316.96 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.03 : 1,092.35 = 316.96 : x
  2. Step 2: Convert to fraction form
    728.03/1,092.35 = 316.96/x
  3. Step 3: Cross multiply
    728.03x = 1,092.35 × 316.96
  4. Step 4: Simplify right side
    728.03x = 346,229.32
  5. Step 5: Solve for x
    x = 346,229.32/728.03
  6. Step 6: Final answer
    x = 475.57

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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.