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Finding the Fourth Proportional to 609.68, 914.20 and 503.96

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Solution

The fourth proportional to 609.68, 914.20 and 503.96 is: 755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 914.20 = 503.96 : x
  2. Step 2: Convert to fraction form
    609.68/914.20 = 503.96/x
  3. Step 3: Cross multiply
    609.68x = 914.20 × 503.96
  4. Step 4: Simplify right side
    609.68x = 460,720.23
  5. Step 5: Solve for x
    x = 460,720.23/609.68
  6. Step 6: Final answer
    x = 755.68

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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.