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Finding the Fourth Proportional to 997.83, 1,377.23 and 666.38

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Solution

The fourth proportional to 997.83, 1,377.23 and 666.38 is: 919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,377.23 = 666.38 : x
  2. Step 2: Convert to fraction form
    997.83/1,377.23 = 666.38/x
  3. Step 3: Cross multiply
    997.83x = 1,377.23 × 666.38
  4. Step 4: Simplify right side
    997.83x = 917,748.31
  5. Step 5: Solve for x
    x = 917,748.31/997.83
  6. Step 6: Final answer
    x = 919.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.