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Finding the Fourth Proportional to 1,201.92, 1,656.48 and 906.48

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Solution

The fourth proportional to 1,201.92, 1,656.48 and 906.48 is: 1,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.92 : 1,656.48 = 906.48 : x
  2. Step 2: Convert to fraction form
    1,201.92/1,656.48 = 906.48/x
  3. Step 3: Cross multiply
    1,201.92x = 1,656.48 × 906.48
  4. Step 4: Simplify right side
    1,201.92x = 1,501,565.99
  5. Step 5: Solve for x
    x = 1,501,565.99/1,201.92
  6. Step 6: Final answer
    x = 1,249.31

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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.