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Finding the Fourth Proportional to 728.94, 1,093.41 and 513.48

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Solution

The fourth proportional to 728.94, 1,093.41 and 513.48 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.94 : 1,093.41 = 513.48 : x
  2. Step 2: Convert to fraction form
    728.94/1,093.41 = 513.48/x
  3. Step 3: Cross multiply
    728.94x = 1,093.41 × 513.48
  4. Step 4: Simplify right side
    728.94x = 561,444.17
  5. Step 5: Solve for x
    x = 561,444.17/728.94
  6. Step 6: Final answer
    x = 770.22

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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.