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Finding the Fourth Proportional to 1,195.59, 1,793.67 and 464.97

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Solution

The fourth proportional to 1,195.59, 1,793.67 and 464.97 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.59 : 1,793.67 = 464.97 : x
  2. Step 2: Convert to fraction form
    1,195.59/1,793.67 = 464.97/x
  3. Step 3: Cross multiply
    1,195.59x = 1,793.67 × 464.97
  4. Step 4: Simplify right side
    1,195.59x = 834,002.74
  5. Step 5: Solve for x
    x = 834,002.74/1,195.59
  6. Step 6: Final answer
    x = 697.57

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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.