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Finding the Fourth Proportional to 771.71, 1,156.37 and 511.43

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Solution

The fourth proportional to 771.71, 1,156.37 and 511.43 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,156.37 = 511.43 : x
  2. Step 2: Convert to fraction form
    771.71/1,156.37 = 511.43/x
  3. Step 3: Cross multiply
    771.71x = 1,156.37 × 511.43
  4. Step 4: Simplify right side
    771.71x = 591,393.97
  5. Step 5: Solve for x
    x = 591,393.97/771.71
  6. Step 6: Final answer
    x = 766.35

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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.