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Finding the Fourth Proportional to 742.79, 1,114.17 and 195.05

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Solution

The fourth proportional to 742.79, 1,114.17 and 195.05 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.79 : 1,114.17 = 195.05 : x
  2. Step 2: Convert to fraction form
    742.79/1,114.17 = 195.05/x
  3. Step 3: Cross multiply
    742.79x = 1,114.17 × 195.05
  4. Step 4: Simplify right side
    742.79x = 217,313.29
  5. Step 5: Solve for x
    x = 217,313.29/742.79
  6. Step 6: Final answer
    x = 292.57

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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.