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Finding the Fourth Proportional to 997.05, 1,498.82 and 992.19

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Solution

The fourth proportional to 997.05, 1,498.82 and 992.19 is: 1,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,498.82 = 992.19 : x
  2. Step 2: Convert to fraction form
    997.05/1,498.82 = 992.19/x
  3. Step 3: Cross multiply
    997.05x = 1,498.82 × 992.19
  4. Step 4: Simplify right side
    997.05x = 1,487,109.25
  5. Step 5: Solve for x
    x = 1,487,109.25/997.05
  6. Step 6: Final answer
    x = 1,491.51

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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.