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Finding the Fourth Proportional to 1,097.82, 1,647.81 and 682.29

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Solution

The fourth proportional to 1,097.82, 1,647.81 and 682.29 is: 1,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.82 : 1,647.81 = 682.29 : x
  2. Step 2: Convert to fraction form
    1,097.82/1,647.81 = 682.29/x
  3. Step 3: Cross multiply
    1,097.82x = 1,647.81 × 682.29
  4. Step 4: Simplify right side
    1,097.82x = 1,124,284.28
  5. Step 5: Solve for x
    x = 1,124,284.28/1,097.82
  6. Step 6: Final answer
    x = 1,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.