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Finding the Fourth Proportional to 742.13, 1,114.34 and 709.26

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Solution

The fourth proportional to 742.13, 1,114.34 and 709.26 is: 1,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.13 : 1,114.34 = 709.26 : x
  2. Step 2: Convert to fraction form
    742.13/1,114.34 = 709.26/x
  3. Step 3: Cross multiply
    742.13x = 1,114.34 × 709.26
  4. Step 4: Simplify right side
    742.13x = 790,358.69
  5. Step 5: Solve for x
    x = 790,358.69/742.13
  6. Step 6: Final answer
    x = 1,064.99

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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.