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Finding the Fourth Proportional to 1,112.68, 1,669.09 and 290.97

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Solution

The fourth proportional to 1,112.68, 1,669.09 and 290.97 is: 436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.68 : 1,669.09 = 290.97 : x
  2. Step 2: Convert to fraction form
    1,112.68/1,669.09 = 290.97/x
  3. Step 3: Cross multiply
    1,112.68x = 1,669.09 × 290.97
  4. Step 4: Simplify right side
    1,112.68x = 485,655.12
  5. Step 5: Solve for x
    x = 485,655.12/1,112.68
  6. Step 6: Final answer
    x = 436.47

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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.