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Finding the Fourth Proportional to 1,216.53, 1,824.82 and 350.85

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Solution

The fourth proportional to 1,216.53, 1,824.82 and 350.85 is: 526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.53 : 1,824.82 = 350.85 : x
  2. Step 2: Convert to fraction form
    1,216.53/1,824.82 = 350.85/x
  3. Step 3: Cross multiply
    1,216.53x = 1,824.82 × 350.85
  4. Step 4: Simplify right side
    1,216.53x = 640,238.10
  5. Step 5: Solve for x
    x = 640,238.10/1,216.53
  6. Step 6: Final answer
    x = 526.28

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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.