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Finding the Fourth Proportional to 1,193.55, 1,790.10 and 327.93

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Solution

The fourth proportional to 1,193.55, 1,790.10 and 327.93 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.55 : 1,790.10 = 327.93 : x
  2. Step 2: Convert to fraction form
    1,193.55/1,790.10 = 327.93/x
  3. Step 3: Cross multiply
    1,193.55x = 1,790.10 × 327.93
  4. Step 4: Simplify right side
    1,193.55x = 587,027.49
  5. Step 5: Solve for x
    x = 587,027.49/1,193.55
  6. Step 6: Final answer
    x = 491.83

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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.