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Finding the Fourth Proportional to 1,284.82, 1,924.34 and 634.12

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Solution

The fourth proportional to 1,284.82, 1,924.34 and 634.12 is: 949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.82 : 1,924.34 = 634.12 : x
  2. Step 2: Convert to fraction form
    1,284.82/1,924.34 = 634.12/x
  3. Step 3: Cross multiply
    1,284.82x = 1,924.34 × 634.12
  4. Step 4: Simplify right side
    1,284.82x = 1,220,262.48
  5. Step 5: Solve for x
    x = 1,220,262.48/1,284.82
  6. Step 6: Final answer
    x = 949.75

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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.