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Finding the Fourth Proportional to 729.17, 1,099.25 and 682.19

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Solution

The fourth proportional to 729.17, 1,099.25 and 682.19 is: 1,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.17 : 1,099.25 = 682.19 : x
  2. Step 2: Convert to fraction form
    729.17/1,099.25 = 682.19/x
  3. Step 3: Cross multiply
    729.17x = 1,099.25 × 682.19
  4. Step 4: Simplify right side
    729.17x = 749,888.45
  5. Step 5: Solve for x
    x = 749,888.45/729.17
  6. Step 6: Final answer
    x = 1,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.