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Finding the Fourth Proportional to 865.53, 1,297.67 and 317.57

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Solution

The fourth proportional to 865.53, 1,297.67 and 317.57 is: 476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.53 : 1,297.67 = 317.57 : x
  2. Step 2: Convert to fraction form
    865.53/1,297.67 = 317.57/x
  3. Step 3: Cross multiply
    865.53x = 1,297.67 × 317.57
  4. Step 4: Simplify right side
    865.53x = 412,092.99
  5. Step 5: Solve for x
    x = 412,092.99/865.53
  6. Step 6: Final answer
    x = 476.12

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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.