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Finding the Fourth Proportional to 865.90, 1,297.32 and 454.42

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Solution

The fourth proportional to 865.90, 1,297.32 and 454.42 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,297.32 = 454.42 : x
  2. Step 2: Convert to fraction form
    865.90/1,297.32 = 454.42/x
  3. Step 3: Cross multiply
    865.90x = 1,297.32 × 454.42
  4. Step 4: Simplify right side
    865.90x = 589,528.15
  5. Step 5: Solve for x
    x = 589,528.15/865.90
  6. Step 6: Final answer
    x = 680.83

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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.