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Finding the Fourth Proportional to 742.68, 1,114.49 and 523.17

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Solution

The fourth proportional to 742.68, 1,114.49 and 523.17 is: 785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.68 : 1,114.49 = 523.17 : x
  2. Step 2: Convert to fraction form
    742.68/1,114.49 = 523.17/x
  3. Step 3: Cross multiply
    742.68x = 1,114.49 × 523.17
  4. Step 4: Simplify right side
    742.68x = 583,069.04
  5. Step 5: Solve for x
    x = 583,069.04/742.68
  6. Step 6: Final answer
    x = 785.09

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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.