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Finding the Fourth Proportional to 1,192.89, 1,789.45 and 442.60

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Solution

The fourth proportional to 1,192.89, 1,789.45 and 442.60 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.89 : 1,789.45 = 442.60 : x
  2. Step 2: Convert to fraction form
    1,192.89/1,789.45 = 442.60/x
  3. Step 3: Cross multiply
    1,192.89x = 1,789.45 × 442.60
  4. Step 4: Simplify right side
    1,192.89x = 792,010.57
  5. Step 5: Solve for x
    x = 792,010.57/1,192.89
  6. Step 6: Final answer
    x = 663.94

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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.