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Finding the Fourth Proportional to 1,195.34, 1,793.52 and 464.97

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Solution

The fourth proportional to 1,195.34, 1,793.52 and 464.97 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.34 : 1,793.52 = 464.97 : x
  2. Step 2: Convert to fraction form
    1,195.34/1,793.52 = 464.97/x
  3. Step 3: Cross multiply
    1,195.34x = 1,793.52 × 464.97
  4. Step 4: Simplify right side
    1,195.34x = 833,932.99
  5. Step 5: Solve for x
    x = 833,932.99/1,195.34
  6. Step 6: Final answer
    x = 697.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.