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Finding the Fourth Proportional to 865.98, 1,297.24 and 403.13

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Solution

The fourth proportional to 865.98, 1,297.24 and 403.13 is: 603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,297.24 = 403.13 : x
  2. Step 2: Convert to fraction form
    865.98/1,297.24 = 403.13/x
  3. Step 3: Cross multiply
    865.98x = 1,297.24 × 403.13
  4. Step 4: Simplify right side
    865.98x = 522,956.36
  5. Step 5: Solve for x
    x = 522,956.36/865.98
  6. Step 6: Final answer
    x = 603.89

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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.