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Finding the Fourth Proportional to 1,201.02, 1,803.42 and 996.90

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Solution

The fourth proportional to 1,201.02, 1,803.42 and 996.90 is: 1,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.02 : 1,803.42 = 996.90 : x
  2. Step 2: Convert to fraction form
    1,201.02/1,803.42 = 996.90/x
  3. Step 3: Cross multiply
    1,201.02x = 1,803.42 × 996.90
  4. Step 4: Simplify right side
    1,201.02x = 1,797,829.40
  5. Step 5: Solve for x
    x = 1,797,829.40/1,201.02
  6. Step 6: Final answer
    x = 1,496.92

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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.