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Finding the Fourth Proportional to 1,193.42, 1,790.22 and 932.88

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Solution

The fourth proportional to 1,193.42, 1,790.22 and 932.88 is: 1,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.42 : 1,790.22 = 932.88 : x
  2. Step 2: Convert to fraction form
    1,193.42/1,790.22 = 932.88/x
  3. Step 3: Cross multiply
    1,193.42x = 1,790.22 × 932.88
  4. Step 4: Simplify right side
    1,193.42x = 1,670,060.43
  5. Step 5: Solve for x
    x = 1,670,060.43/1,193.42
  6. Step 6: Final answer
    x = 1,399.39

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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.