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Finding the Fourth Proportional to 842.83, 1,263.28 and 452.37

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Solution

The fourth proportional to 842.83, 1,263.28 and 452.37 is: 678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.83 : 1,263.28 = 452.37 : x
  2. Step 2: Convert to fraction form
    842.83/1,263.28 = 452.37/x
  3. Step 3: Cross multiply
    842.83x = 1,263.28 × 452.37
  4. Step 4: Simplify right side
    842.83x = 571,469.97
  5. Step 5: Solve for x
    x = 571,469.97/842.83
  6. Step 6: Final answer
    x = 678.04

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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.