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Finding the Fourth Proportional to 994.07, 1,369.85 and 846.45

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Solution

The fourth proportional to 994.07, 1,369.85 and 846.45 is: 1,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.07 : 1,369.85 = 846.45 : x
  2. Step 2: Convert to fraction form
    994.07/1,369.85 = 846.45/x
  3. Step 3: Cross multiply
    994.07x = 1,369.85 × 846.45
  4. Step 4: Simplify right side
    994.07x = 1,159,505.30
  5. Step 5: Solve for x
    x = 1,159,505.30/994.07
  6. Step 6: Final answer
    x = 1,166.42

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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.