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Finding the Fourth Proportional to 1,216.64, 1,825.56 and 754.30

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Solution

The fourth proportional to 1,216.64, 1,825.56 and 754.30 is: 1,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.64 : 1,825.56 = 754.30 : x
  2. Step 2: Convert to fraction form
    1,216.64/1,825.56 = 754.30/x
  3. Step 3: Cross multiply
    1,216.64x = 1,825.56 × 754.30
  4. Step 4: Simplify right side
    1,216.64x = 1,377,019.91
  5. Step 5: Solve for x
    x = 1,377,019.91/1,216.64
  6. Step 6: Final answer
    x = 1,131.82

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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.