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Finding the Fourth Proportional to 997.29, 1,495.94 and 825.93

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Solution

The fourth proportional to 997.29, 1,495.94 and 825.93 is: 1,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.29 : 1,495.94 = 825.93 : x
  2. Step 2: Convert to fraction form
    997.29/1,495.94 = 825.93/x
  3. Step 3: Cross multiply
    997.29x = 1,495.94 × 825.93
  4. Step 4: Simplify right side
    997.29x = 1,235,537.59
  5. Step 5: Solve for x
    x = 1,235,537.59/997.29
  6. Step 6: Final answer
    x = 1,238.90

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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.