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Finding the Fourth Proportional to 1,135.82, 1,695.44 and 997.42

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Solution

The fourth proportional to 1,135.82, 1,695.44 and 997.42 is: 1,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.82 : 1,695.44 = 997.42 : x
  2. Step 2: Convert to fraction form
    1,135.82/1,695.44 = 997.42/x
  3. Step 3: Cross multiply
    1,135.82x = 1,695.44 × 997.42
  4. Step 4: Simplify right side
    1,135.82x = 1,691,063.48
  5. Step 5: Solve for x
    x = 1,691,063.48/1,135.82
  6. Step 6: Final answer
    x = 1,488.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.