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Finding the Fourth Proportional to 694.80, 1,040.13 and 420.05

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Solution

The fourth proportional to 694.80, 1,040.13 and 420.05 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 1,040.13 = 420.05 : x
  2. Step 2: Convert to fraction form
    694.80/1,040.13 = 420.05/x
  3. Step 3: Cross multiply
    694.80x = 1,040.13 × 420.05
  4. Step 4: Simplify right side
    694.80x = 436,909.21
  5. Step 5: Solve for x
    x = 436,909.21/694.80
  6. Step 6: Final answer
    x = 628.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.