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Finding the Fourth Proportional to 1,137.37, 1,702.97 and 997.26

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Solution

The fourth proportional to 1,137.37, 1,702.97 and 997.26 is: 1,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.37 : 1,702.97 = 997.26 : x
  2. Step 2: Convert to fraction form
    1,137.37/1,702.97 = 997.26/x
  3. Step 3: Cross multiply
    1,137.37x = 1,702.97 × 997.26
  4. Step 4: Simplify right side
    1,137.37x = 1,698,298.88
  5. Step 5: Solve for x
    x = 1,698,298.88/1,137.37
  6. Step 6: Final answer
    x = 1,493.18

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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.