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Finding the Fourth Proportional to 800.73, 1,200.12 and 508.23

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Solution

The fourth proportional to 800.73, 1,200.12 and 508.23 is: 761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.73 : 1,200.12 = 508.23 : x
  2. Step 2: Convert to fraction form
    800.73/1,200.12 = 508.23/x
  3. Step 3: Cross multiply
    800.73x = 1,200.12 × 508.23
  4. Step 4: Simplify right side
    800.73x = 609,936.99
  5. Step 5: Solve for x
    x = 609,936.99/800.73
  6. Step 6: Final answer
    x = 761.73

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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.