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Finding the Fourth Proportional to 1,395.52, 2,093.52 and 664.80

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Solution

The fourth proportional to 1,395.52, 2,093.52 and 664.80 is: 997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.52 : 2,093.52 = 664.80 : x
  2. Step 2: Convert to fraction form
    1,395.52/2,093.52 = 664.80/x
  3. Step 3: Cross multiply
    1,395.52x = 2,093.52 × 664.80
  4. Step 4: Simplify right side
    1,395.52x = 1,391,772.10
  5. Step 5: Solve for x
    x = 1,391,772.10/1,395.52
  6. Step 6: Final answer
    x = 997.31

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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.