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Finding the Fourth Proportional to 771.82, 1,156.06 and 511.94

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Solution

The fourth proportional to 771.82, 1,156.06 and 511.94 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.82 : 1,156.06 = 511.94 : x
  2. Step 2: Convert to fraction form
    771.82/1,156.06 = 511.94/x
  3. Step 3: Cross multiply
    771.82x = 1,156.06 × 511.94
  4. Step 4: Simplify right side
    771.82x = 591,833.36
  5. Step 5: Solve for x
    x = 591,833.36/771.82
  6. Step 6: Final answer
    x = 766.80

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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.