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Finding the Fourth Proportional to 694.23, 1,041.95 and 521.09

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Solution

The fourth proportional to 694.23, 1,041.95 and 521.09 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.23 : 1,041.95 = 521.09 : x
  2. Step 2: Convert to fraction form
    694.23/1,041.95 = 521.09/x
  3. Step 3: Cross multiply
    694.23x = 1,041.95 × 521.09
  4. Step 4: Simplify right side
    694.23x = 542,949.73
  5. Step 5: Solve for x
    x = 542,949.73/694.23
  6. Step 6: Final answer
    x = 782.09

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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.