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Finding the Fourth Proportional to 1,232.05, 1,690.67 and 1,120.68

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Solution

The fourth proportional to 1,232.05, 1,690.67 and 1,120.68 is: 1,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.05 : 1,690.67 = 1,120.68 : x
  2. Step 2: Convert to fraction form
    1,232.05/1,690.67 = 1,120.68/x
  3. Step 3: Cross multiply
    1,232.05x = 1,690.67 × 1,120.68
  4. Step 4: Simplify right side
    1,232.05x = 1,894,700.06
  5. Step 5: Solve for x
    x = 1,894,700.06/1,232.05
  6. Step 6: Final answer
    x = 1,537.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.