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Finding the Fourth Proportional to 1,216.73, 1,824.90 and 437.30

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Solution

The fourth proportional to 1,216.73, 1,824.90 and 437.30 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.73 : 1,824.90 = 437.30 : x
  2. Step 2: Convert to fraction form
    1,216.73/1,824.90 = 437.30/x
  3. Step 3: Cross multiply
    1,216.73x = 1,824.90 × 437.30
  4. Step 4: Simplify right side
    1,216.73x = 798,028.77
  5. Step 5: Solve for x
    x = 798,028.77/1,216.73
  6. Step 6: Final answer
    x = 655.88

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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.