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Finding the Fourth Proportional to 1,112.45, 1,669.15 and 650.22

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Solution

The fourth proportional to 1,112.45, 1,669.15 and 650.22 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.45 : 1,669.15 = 650.22 : x
  2. Step 2: Convert to fraction form
    1,112.45/1,669.15 = 650.22/x
  3. Step 3: Cross multiply
    1,112.45x = 1,669.15 × 650.22
  4. Step 4: Simplify right side
    1,112.45x = 1,085,314.71
  5. Step 5: Solve for x
    x = 1,085,314.71/1,112.45
  6. Step 6: Final answer
    x = 975.61

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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.