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Finding the Fourth Proportional to 1,203.52, 1,660.26 and 1,037.44

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Solution

The fourth proportional to 1,203.52, 1,660.26 and 1,037.44 is: 1,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.52 : 1,660.26 = 1,037.44 : x
  2. Step 2: Convert to fraction form
    1,203.52/1,660.26 = 1,037.44/x
  3. Step 3: Cross multiply
    1,203.52x = 1,660.26 × 1,037.44
  4. Step 4: Simplify right side
    1,203.52x = 1,722,420.13
  5. Step 5: Solve for x
    x = 1,722,420.13/1,203.52
  6. Step 6: Final answer
    x = 1,431.15

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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.