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Finding the Fourth Proportional to 773.60, 1,067.10 and 511.70

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Solution

The fourth proportional to 773.60, 1,067.10 and 511.70 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,067.10 = 511.70 : x
  2. Step 2: Convert to fraction form
    773.60/1,067.10 = 511.70/x
  3. Step 3: Cross multiply
    773.60x = 1,067.10 × 511.70
  4. Step 4: Simplify right side
    773.60x = 546,035.07
  5. Step 5: Solve for x
    x = 546,035.07/773.60
  6. Step 6: Final answer
    x = 705.84

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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.