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Finding the Fourth Proportional to 800.52, 1,201.14 and 415.56

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Solution

The fourth proportional to 800.52, 1,201.14 and 415.56 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.52 : 1,201.14 = 415.56 : x
  2. Step 2: Convert to fraction form
    800.52/1,201.14 = 415.56/x
  3. Step 3: Cross multiply
    800.52x = 1,201.14 × 415.56
  4. Step 4: Simplify right side
    800.52x = 499,145.74
  5. Step 5: Solve for x
    x = 499,145.74/800.52
  6. Step 6: Final answer
    x = 623.53

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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.