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Finding the Fourth Proportional to 1,112.77, 1,669.52 and 1,016.29

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Solution

The fourth proportional to 1,112.77, 1,669.52 and 1,016.29 is: 1,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.77 : 1,669.52 = 1,016.29 : x
  2. Step 2: Convert to fraction form
    1,112.77/1,669.52 = 1,016.29/x
  3. Step 3: Cross multiply
    1,112.77x = 1,669.52 × 1,016.29
  4. Step 4: Simplify right side
    1,112.77x = 1,696,716.48
  5. Step 5: Solve for x
    x = 1,696,716.48/1,112.77
  6. Step 6: Final answer
    x = 1,524.77

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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.