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Finding the Fourth Proportional to 1,193.12, 1,790.04 and 462.44

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Solution

The fourth proportional to 1,193.12, 1,790.04 and 462.44 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.12 : 1,790.04 = 462.44 : x
  2. Step 2: Convert to fraction form
    1,193.12/1,790.04 = 462.44/x
  3. Step 3: Cross multiply
    1,193.12x = 1,790.04 × 462.44
  4. Step 4: Simplify right side
    1,193.12x = 827,786.10
  5. Step 5: Solve for x
    x = 827,786.10/1,193.12
  6. Step 6: Final answer
    x = 693.80

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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.