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Finding the Fourth Proportional to 694.82, 1,043.58 and 511.50

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Solution

The fourth proportional to 694.82, 1,043.58 and 511.50 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.82 : 1,043.58 = 511.50 : x
  2. Step 2: Convert to fraction form
    694.82/1,043.58 = 511.50/x
  3. Step 3: Cross multiply
    694.82x = 1,043.58 × 511.50
  4. Step 4: Simplify right side
    694.82x = 533,791.17
  5. Step 5: Solve for x
    x = 533,791.17/694.82
  6. Step 6: Final answer
    x = 768.24

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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.