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Finding the Fourth Proportional to 1,233.60, 1,851.31 and 584.33

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Solution

The fourth proportional to 1,233.60, 1,851.31 and 584.33 is: 876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.60 : 1,851.31 = 584.33 : x
  2. Step 2: Convert to fraction form
    1,233.60/1,851.31 = 584.33/x
  3. Step 3: Cross multiply
    1,233.60x = 1,851.31 × 584.33
  4. Step 4: Simplify right side
    1,233.60x = 1,081,773.05
  5. Step 5: Solve for x
    x = 1,081,773.05/1,233.60
  6. Step 6: Final answer
    x = 876.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.