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Finding the Fourth Proportional to 1,331.31, 1,997 and 465.63

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Solution

The fourth proportional to 1,331.31, 1,997 and 465.63 is: 698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.31 : 1,997 = 465.63 : x
  2. Step 2: Convert to fraction form
    1,331.31/1,997 = 465.63/x
  3. Step 3: Cross multiply
    1,331.31x = 1,997 × 465.63
  4. Step 4: Simplify right side
    1,331.31x = 929,863.11
  5. Step 5: Solve for x
    x = 929,863.11/1,331.31
  6. Step 6: Final answer
    x = 698.46

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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.