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Finding the Fourth Proportional to 990.78, 1,367.94 and 617.82

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Solution

The fourth proportional to 990.78, 1,367.94 and 617.82 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.78 : 1,367.94 = 617.82 : x
  2. Step 2: Convert to fraction form
    990.78/1,367.94 = 617.82/x
  3. Step 3: Cross multiply
    990.78x = 1,367.94 × 617.82
  4. Step 4: Simplify right side
    990.78x = 845,140.69
  5. Step 5: Solve for x
    x = 845,140.69/990.78
  6. Step 6: Final answer
    x = 853.01

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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.