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Finding the Fourth Proportional to 865.35, 1,297.96 and 403.01

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Solution

The fourth proportional to 865.35, 1,297.96 and 403.01 is: 604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.35 : 1,297.96 = 403.01 : x
  2. Step 2: Convert to fraction form
    865.35/1,297.96 = 403.01/x
  3. Step 3: Cross multiply
    865.35x = 1,297.96 × 403.01
  4. Step 4: Simplify right side
    865.35x = 523,088.23
  5. Step 5: Solve for x
    x = 523,088.23/865.35
  6. Step 6: Final answer
    x = 604.48

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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.