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Finding the Fourth Proportional to 1,199.92, 1,655.82 and 661.54

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Solution

The fourth proportional to 1,199.92, 1,655.82 and 661.54 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.92 : 1,655.82 = 661.54 : x
  2. Step 2: Convert to fraction form
    1,199.92/1,655.82 = 661.54/x
  3. Step 3: Cross multiply
    1,199.92x = 1,655.82 × 661.54
  4. Step 4: Simplify right side
    1,199.92x = 1,095,382.45
  5. Step 5: Solve for x
    x = 1,095,382.45/1,199.92
  6. Step 6: Final answer
    x = 912.88

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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.