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Finding the Fourth Proportional to 1,164.75, 1,607.89 and 791.74

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Solution

The fourth proportional to 1,164.75, 1,607.89 and 791.74 is: 1,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.75 : 1,607.89 = 791.74 : x
  2. Step 2: Convert to fraction form
    1,164.75/1,607.89 = 791.74/x
  3. Step 3: Cross multiply
    1,164.75x = 1,607.89 × 791.74
  4. Step 4: Simplify right side
    1,164.75x = 1,273,030.83
  5. Step 5: Solve for x
    x = 1,273,030.83/1,164.75
  6. Step 6: Final answer
    x = 1,092.96

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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.