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Finding the Fourth Proportional to 865.75, 1,297.59 and 454.66

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Solution

The fourth proportional to 865.75, 1,297.59 and 454.66 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.75 : 1,297.59 = 454.66 : x
  2. Step 2: Convert to fraction form
    865.75/1,297.59 = 454.66/x
  3. Step 3: Cross multiply
    865.75x = 1,297.59 × 454.66
  4. Step 4: Simplify right side
    865.75x = 589,962.27
  5. Step 5: Solve for x
    x = 589,962.27/865.75
  6. Step 6: Final answer
    x = 681.45

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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.