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Finding the Fourth Proportional to 1,165.44, 1,607.87 and 667.90

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Solution

The fourth proportional to 1,165.44, 1,607.87 and 667.90 is: 921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.44 : 1,607.87 = 667.90 : x
  2. Step 2: Convert to fraction form
    1,165.44/1,607.87 = 667.90/x
  3. Step 3: Cross multiply
    1,165.44x = 1,607.87 × 667.90
  4. Step 4: Simplify right side
    1,165.44x = 1,073,884.99
  5. Step 5: Solve for x
    x = 1,073,884.99/1,165.44
  6. Step 6: Final answer
    x = 921.44

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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.