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Finding the Fourth Proportional to 846.22, 1,263.89 and 798.82

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Solution

The fourth proportional to 846.22, 1,263.89 and 798.82 is: 1,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.22 : 1,263.89 = 798.82 : x
  2. Step 2: Convert to fraction form
    846.22/1,263.89 = 798.82/x
  3. Step 3: Cross multiply
    846.22x = 1,263.89 × 798.82
  4. Step 4: Simplify right side
    846.22x = 1,009,620.61
  5. Step 5: Solve for x
    x = 1,009,620.61/846.22
  6. Step 6: Final answer
    x = 1,193.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.