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Finding the Fourth Proportional to 855.36, 1,181.10 and 541.14

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Solution

The fourth proportional to 855.36, 1,181.10 and 541.14 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.36 : 1,181.10 = 541.14 : x
  2. Step 2: Convert to fraction form
    855.36/1,181.10 = 541.14/x
  3. Step 3: Cross multiply
    855.36x = 1,181.10 × 541.14
  4. Step 4: Simplify right side
    855.36x = 639,140.45
  5. Step 5: Solve for x
    x = 639,140.45/855.36
  6. Step 6: Final answer
    x = 747.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.