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Finding the Fourth Proportional to 781.34, 1,171.05 and 415.58

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Solution

The fourth proportional to 781.34, 1,171.05 and 415.58 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.34 : 1,171.05 = 415.58 : x
  2. Step 2: Convert to fraction form
    781.34/1,171.05 = 415.58/x
  3. Step 3: Cross multiply
    781.34x = 1,171.05 × 415.58
  4. Step 4: Simplify right side
    781.34x = 486,664.96
  5. Step 5: Solve for x
    x = 486,664.96/781.34
  6. Step 6: Final answer
    x = 622.86

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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.