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Finding the Fourth Proportional to 1,255.92, 1,883.82 and 604.68

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Solution

The fourth proportional to 1,255.92, 1,883.82 and 604.68 is: 906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.92 : 1,883.82 = 604.68 : x
  2. Step 2: Convert to fraction form
    1,255.92/1,883.82 = 604.68/x
  3. Step 3: Cross multiply
    1,255.92x = 1,883.82 × 604.68
  4. Step 4: Simplify right side
    1,255.92x = 1,139,108.28
  5. Step 5: Solve for x
    x = 1,139,108.28/1,255.92
  6. Step 6: Final answer
    x = 906.99

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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.