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Finding the Fourth Proportional to 771.92, 1,064.14 and 614.62

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Solution

The fourth proportional to 771.92, 1,064.14 and 614.62 is: 847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,064.14 = 614.62 : x
  2. Step 2: Convert to fraction form
    771.92/1,064.14 = 614.62/x
  3. Step 3: Cross multiply
    771.92x = 1,064.14 × 614.62
  4. Step 4: Simplify right side
    771.92x = 654,041.73
  5. Step 5: Solve for x
    x = 654,041.73/771.92
  6. Step 6: Final answer
    x = 847.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.