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Finding the Fourth Proportional to 1,203.27, 1,796.87 and 1,141.76

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Solution

The fourth proportional to 1,203.27, 1,796.87 and 1,141.76 is: 1,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.27 : 1,796.87 = 1,141.76 : x
  2. Step 2: Convert to fraction form
    1,203.27/1,796.87 = 1,141.76/x
  3. Step 3: Cross multiply
    1,203.27x = 1,796.87 × 1,141.76
  4. Step 4: Simplify right side
    1,203.27x = 2,051,594.29
  5. Step 5: Solve for x
    x = 2,051,594.29/1,203.27
  6. Step 6: Final answer
    x = 1,705.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.