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Finding the Fourth Proportional to 993.07, 1,369.60 and 861.85

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Solution

The fourth proportional to 993.07, 1,369.60 and 861.85 is: 1,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.07 : 1,369.60 = 861.85 : x
  2. Step 2: Convert to fraction form
    993.07/1,369.60 = 861.85/x
  3. Step 3: Cross multiply
    993.07x = 1,369.60 × 861.85
  4. Step 4: Simplify right side
    993.07x = 1,180,389.76
  5. Step 5: Solve for x
    x = 1,180,389.76/993.07
  6. Step 6: Final answer
    x = 1,188.63

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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.