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Finding the Fourth Proportional to 1,222.28, 1,832.87 and 356.66

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Solution

The fourth proportional to 1,222.28, 1,832.87 and 356.66 is: 534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.28 : 1,832.87 = 356.66 : x
  2. Step 2: Convert to fraction form
    1,222.28/1,832.87 = 356.66/x
  3. Step 3: Cross multiply
    1,222.28x = 1,832.87 × 356.66
  4. Step 4: Simplify right side
    1,222.28x = 653,700.47
  5. Step 5: Solve for x
    x = 653,700.47/1,222.28
  6. Step 6: Final answer
    x = 534.82

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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.