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Finding the Fourth Proportional to 1,331.79, 1,837.67 and 800.55

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Solution

The fourth proportional to 1,331.79, 1,837.67 and 800.55 is: 1,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.79 : 1,837.67 = 800.55 : x
  2. Step 2: Convert to fraction form
    1,331.79/1,837.67 = 800.55/x
  3. Step 3: Cross multiply
    1,331.79x = 1,837.67 × 800.55
  4. Step 4: Simplify right side
    1,331.79x = 1,471,142.72
  5. Step 5: Solve for x
    x = 1,471,142.72/1,331.79
  6. Step 6: Final answer
    x = 1,104.64

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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.