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Finding the Fourth Proportional to 805.92, 1,208.04 and 285.76

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Solution

The fourth proportional to 805.92, 1,208.04 and 285.76 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,208.04 = 285.76 : x
  2. Step 2: Convert to fraction form
    805.92/1,208.04 = 285.76/x
  3. Step 3: Cross multiply
    805.92x = 1,208.04 × 285.76
  4. Step 4: Simplify right side
    805.92x = 345,209.51
  5. Step 5: Solve for x
    x = 345,209.51/805.92
  6. Step 6: Final answer
    x = 428.34

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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.