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Finding the Fourth Proportional to 607.48, 911.26 and 509.96

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Solution

The fourth proportional to 607.48, 911.26 and 509.96 is: 764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.48 : 911.26 = 509.96 : x
  2. Step 2: Convert to fraction form
    607.48/911.26 = 509.96/x
  3. Step 3: Cross multiply
    607.48x = 911.26 × 509.96
  4. Step 4: Simplify right side
    607.48x = 464,706.15
  5. Step 5: Solve for x
    x = 464,706.15/607.48
  6. Step 6: Final answer
    x = 764.97

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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.