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Finding the Fourth Proportional to 1,447.62, 1,997.91 and 887.98

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Solution

The fourth proportional to 1,447.62, 1,997.91 and 887.98 is: 1,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.62 : 1,997.91 = 887.98 : x
  2. Step 2: Convert to fraction form
    1,447.62/1,997.91 = 887.98/x
  3. Step 3: Cross multiply
    1,447.62x = 1,997.91 × 887.98
  4. Step 4: Simplify right side
    1,447.62x = 1,774,104.12
  5. Step 5: Solve for x
    x = 1,774,104.12/1,447.62
  6. Step 6: Final answer
    x = 1,225.53

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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.