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Finding the Fourth Proportional to 865.44, 1,297.57 and 402.96

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Solution

The fourth proportional to 865.44, 1,297.57 and 402.96 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.44 : 1,297.57 = 402.96 : x
  2. Step 2: Convert to fraction form
    865.44/1,297.57 = 402.96/x
  3. Step 3: Cross multiply
    865.44x = 1,297.57 × 402.96
  4. Step 4: Simplify right side
    865.44x = 522,868.81
  5. Step 5: Solve for x
    x = 522,868.81/865.44
  6. Step 6: Final answer
    x = 604.17

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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.