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Finding the Fourth Proportional to 865.25, 1,297.18 and 499.62

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Solution

The fourth proportional to 865.25, 1,297.18 and 499.62 is: 749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,297.18 = 499.62 : x
  2. Step 2: Convert to fraction form
    865.25/1,297.18 = 499.62/x
  3. Step 3: Cross multiply
    865.25x = 1,297.18 × 499.62
  4. Step 4: Simplify right side
    865.25x = 648,094.57
  5. Step 5: Solve for x
    x = 648,094.57/865.25
  6. Step 6: Final answer
    x = 749.03

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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.