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Finding the Fourth Proportional to 742.15, 1,114.12 and 347.21

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Solution

The fourth proportional to 742.15, 1,114.12 and 347.21 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.15 : 1,114.12 = 347.21 : x
  2. Step 2: Convert to fraction form
    742.15/1,114.12 = 347.21/x
  3. Step 3: Cross multiply
    742.15x = 1,114.12 × 347.21
  4. Step 4: Simplify right side
    742.15x = 386,828.03
  5. Step 5: Solve for x
    x = 386,828.03/742.15
  6. Step 6: Final answer
    x = 521.23

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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.