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Finding the Fourth Proportional to 781.45, 1,171.70 and 537.71

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Solution

The fourth proportional to 781.45, 1,171.70 and 537.71 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.45 : 1,171.70 = 537.71 : x
  2. Step 2: Convert to fraction form
    781.45/1,171.70 = 537.71/x
  3. Step 3: Cross multiply
    781.45x = 1,171.70 × 537.71
  4. Step 4: Simplify right side
    781.45x = 630,028.28
  5. Step 5: Solve for x
    x = 630,028.28/781.45
  6. Step 6: Final answer
    x = 806.23

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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.