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Finding the Fourth Proportional to 1,193.57, 1,790.43 and 371.78

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Solution

The fourth proportional to 1,193.57, 1,790.43 and 371.78 is: 557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.57 : 1,790.43 = 371.78 : x
  2. Step 2: Convert to fraction form
    1,193.57/1,790.43 = 371.78/x
  3. Step 3: Cross multiply
    1,193.57x = 1,790.43 × 371.78
  4. Step 4: Simplify right side
    1,193.57x = 665,637.11
  5. Step 5: Solve for x
    x = 665,637.11/1,193.57
  6. Step 6: Final answer
    x = 557.69

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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.