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Finding the Fourth Proportional to 1,216.52, 1,824.76 and 825.55

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Solution

The fourth proportional to 1,216.52, 1,824.76 and 825.55 is: 1,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.52 : 1,824.76 = 825.55 : x
  2. Step 2: Convert to fraction form
    1,216.52/1,824.76 = 825.55/x
  3. Step 3: Cross multiply
    1,216.52x = 1,824.76 × 825.55
  4. Step 4: Simplify right side
    1,216.52x = 1,506,427.09
  5. Step 5: Solve for x
    x = 1,506,427.09/1,216.52
  6. Step 6: Final answer
    x = 1,238.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.