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Finding the Fourth Proportional to 1,233.59, 1,701.68 and 791.00

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Solution

The fourth proportional to 1,233.59, 1,701.68 and 791.00 is: 1,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.59 : 1,701.68 = 791.00 : x
  2. Step 2: Convert to fraction form
    1,233.59/1,701.68 = 791.00/x
  3. Step 3: Cross multiply
    1,233.59x = 1,701.68 × 791.00
  4. Step 4: Simplify right side
    1,233.59x = 1,346,016.42
  5. Step 5: Solve for x
    x = 1,346,016.42/1,233.59
  6. Step 6: Final answer
    x = 1,091.14

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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.