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Finding the Fourth Proportional to 865.84, 1,297.16 and 541.36

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Solution

The fourth proportional to 865.84, 1,297.16 and 541.36 is: 811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,297.16 = 541.36 : x
  2. Step 2: Convert to fraction form
    865.84/1,297.16 = 541.36/x
  3. Step 3: Cross multiply
    865.84x = 1,297.16 × 541.36
  4. Step 4: Simplify right side
    865.84x = 702,230.54
  5. Step 5: Solve for x
    x = 702,230.54/865.84
  6. Step 6: Final answer
    x = 811.04

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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.