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Finding the Fourth Proportional to 1,112.12, 1,535.22 and 664.15

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Solution

The fourth proportional to 1,112.12, 1,535.22 and 664.15 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.12 : 1,535.22 = 664.15 : x
  2. Step 2: Convert to fraction form
    1,112.12/1,535.22 = 664.15/x
  3. Step 3: Cross multiply
    1,112.12x = 1,535.22 × 664.15
  4. Step 4: Simplify right side
    1,112.12x = 1,019,615.40
  5. Step 5: Solve for x
    x = 1,019,615.40/1,112.12
  6. Step 6: Final answer
    x = 916.82

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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.