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Finding the Fourth Proportional to 721.36, 994.44 and 514

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Solution

The fourth proportional to 721.36, 994.44 and 514 is: 708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.36 : 994.44 = 514 : x
  2. Step 2: Convert to fraction form
    721.36/994.44 = 514/x
  3. Step 3: Cross multiply
    721.36x = 994.44 × 514
  4. Step 4: Simplify right side
    721.36x = 511,142.16
  5. Step 5: Solve for x
    x = 511,142.16/721.36
  6. Step 6: Final answer
    x = 708.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.