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Finding the Fourth Proportional to 997.73, 1,495.64 and 503.81

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Solution

The fourth proportional to 997.73, 1,495.64 and 503.81 is: 755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.73 : 1,495.64 = 503.81 : x
  2. Step 2: Convert to fraction form
    997.73/1,495.64 = 503.81/x
  3. Step 3: Cross multiply
    997.73x = 1,495.64 × 503.81
  4. Step 4: Simplify right side
    997.73x = 753,508.39
  5. Step 5: Solve for x
    x = 753,508.39/997.73
  6. Step 6: Final answer
    x = 755.23

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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.