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Finding the Fourth Proportional to 694.98, 1,041.56 and 520.27

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Solution

The fourth proportional to 694.98, 1,041.56 and 520.27 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.98 : 1,041.56 = 520.27 : x
  2. Step 2: Convert to fraction form
    694.98/1,041.56 = 520.27/x
  3. Step 3: Cross multiply
    694.98x = 1,041.56 × 520.27
  4. Step 4: Simplify right side
    694.98x = 541,897.22
  5. Step 5: Solve for x
    x = 541,897.22/694.98
  6. Step 6: Final answer
    x = 779.74

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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.