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Finding the Fourth Proportional to 1,203.03, 1,660.37 and 872.96

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Solution

The fourth proportional to 1,203.03, 1,660.37 and 872.96 is: 1,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.03 : 1,660.37 = 872.96 : x
  2. Step 2: Convert to fraction form
    1,203.03/1,660.37 = 872.96/x
  3. Step 3: Cross multiply
    1,203.03x = 1,660.37 × 872.96
  4. Step 4: Simplify right side
    1,203.03x = 1,449,423.93
  5. Step 5: Solve for x
    x = 1,449,423.93/1,203.03
  6. Step 6: Final answer
    x = 1,204.81

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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.