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Finding the Fourth Proportional to 842.02, 1,263.33 and 379.75

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Solution

The fourth proportional to 842.02, 1,263.33 and 379.75 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,263.33 = 379.75 : x
  2. Step 2: Convert to fraction form
    842.02/1,263.33 = 379.75/x
  3. Step 3: Cross multiply
    842.02x = 1,263.33 × 379.75
  4. Step 4: Simplify right side
    842.02x = 479,749.57
  5. Step 5: Solve for x
    x = 479,749.57/842.02
  6. Step 6: Final answer
    x = 569.76

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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.