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Finding the Fourth Proportional to 1,024.60, 1,533.24 and 820.48

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Solution

The fourth proportional to 1,024.60, 1,533.24 and 820.48 is: 1,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.60 : 1,533.24 = 820.48 : x
  2. Step 2: Convert to fraction form
    1,024.60/1,533.24 = 820.48/x
  3. Step 3: Cross multiply
    1,024.60x = 1,533.24 × 820.48
  4. Step 4: Simplify right side
    1,024.60x = 1,257,992.76
  5. Step 5: Solve for x
    x = 1,257,992.76/1,024.60
  6. Step 6: Final answer
    x = 1,227.79

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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.