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Finding the Fourth Proportional to 1,216.08, 1,824.72 and 522.55

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Solution

The fourth proportional to 1,216.08, 1,824.72 and 522.55 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.08 : 1,824.72 = 522.55 : x
  2. Step 2: Convert to fraction form
    1,216.08/1,824.72 = 522.55/x
  3. Step 3: Cross multiply
    1,216.08x = 1,824.72 × 522.55
  4. Step 4: Simplify right side
    1,216.08x = 953,507.44
  5. Step 5: Solve for x
    x = 953,507.44/1,216.08
  6. Step 6: Final answer
    x = 784.08

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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.