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Finding the Fourth Proportional to 1,194.31, 1,646.55 and 839.77

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Solution

The fourth proportional to 1,194.31, 1,646.55 and 839.77 is: 1,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.31 : 1,646.55 = 839.77 : x
  2. Step 2: Convert to fraction form
    1,194.31/1,646.55 = 839.77/x
  3. Step 3: Cross multiply
    1,194.31x = 1,646.55 × 839.77
  4. Step 4: Simplify right side
    1,194.31x = 1,382,723.29
  5. Step 5: Solve for x
    x = 1,382,723.29/1,194.31
  6. Step 6: Final answer
    x = 1,157.76

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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.