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Finding the Fourth Proportional to 796.29, 1,097.94 and 553.14

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Solution

The fourth proportional to 796.29, 1,097.94 and 553.14 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.29 : 1,097.94 = 553.14 : x
  2. Step 2: Convert to fraction form
    796.29/1,097.94 = 553.14/x
  3. Step 3: Cross multiply
    796.29x = 1,097.94 × 553.14
  4. Step 4: Simplify right side
    796.29x = 607,314.53
  5. Step 5: Solve for x
    x = 607,314.53/796.29
  6. Step 6: Final answer
    x = 762.68

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Why These Related Problems?

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