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Finding the Fourth Proportional to 1,203.50, 1,795.94 and 1,073.90

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Solution

The fourth proportional to 1,203.50, 1,795.94 and 1,073.90 is: 1,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.50 : 1,795.94 = 1,073.90 : x
  2. Step 2: Convert to fraction form
    1,203.50/1,795.94 = 1,073.90/x
  3. Step 3: Cross multiply
    1,203.50x = 1,795.94 × 1,073.90
  4. Step 4: Simplify right side
    1,203.50x = 1,928,659.97
  5. Step 5: Solve for x
    x = 1,928,659.97/1,203.50
  6. Step 6: Final answer
    x = 1,602.54

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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.