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Finding the Fourth Proportional to 1,233.70, 1,702.02 and 791.53

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Solution

The fourth proportional to 1,233.70, 1,702.02 and 791.53 is: 1,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.70 : 1,702.02 = 791.53 : x
  2. Step 2: Convert to fraction form
    1,233.70/1,702.02 = 791.53/x
  3. Step 3: Cross multiply
    1,233.70x = 1,702.02 × 791.53
  4. Step 4: Simplify right side
    1,233.70x = 1,347,199.89
  5. Step 5: Solve for x
    x = 1,347,199.89/1,233.70
  6. Step 6: Final answer
    x = 1,092.00

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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.