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Finding the Fourth Proportional to 725.10, 1,090.35 and 606.30

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Solution

The fourth proportional to 725.10, 1,090.35 and 606.30 is: 911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,090.35 = 606.30 : x
  2. Step 2: Convert to fraction form
    725.10/1,090.35 = 606.30/x
  3. Step 3: Cross multiply
    725.10x = 1,090.35 × 606.30
  4. Step 4: Simplify right side
    725.10x = 661,079.21
  5. Step 5: Solve for x
    x = 661,079.21/725.10
  6. Step 6: Final answer
    x = 911.71

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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.