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Finding the Fourth Proportional to 837.65, 1,255.05 and 420.62

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Solution

The fourth proportional to 837.65, 1,255.05 and 420.62 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.65 : 1,255.05 = 420.62 : x
  2. Step 2: Convert to fraction form
    837.65/1,255.05 = 420.62/x
  3. Step 3: Cross multiply
    837.65x = 1,255.05 × 420.62
  4. Step 4: Simplify right side
    837.65x = 527,892.86
  5. Step 5: Solve for x
    x = 527,892.86/837.65
  6. Step 6: Final answer
    x = 630.21

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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.