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Finding the Fourth Proportional to 876, 1,208.34 and 581.16

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Solution

The fourth proportional to 876, 1,208.34 and 581.16 is: 801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,208.34 = 581.16 : x
  2. Step 2: Convert to fraction form
    876/1,208.34 = 581.16/x
  3. Step 3: Cross multiply
    876x = 1,208.34 × 581.16
  4. Step 4: Simplify right side
    876x = 702,238.87
  5. Step 5: Solve for x
    x = 702,238.87/876
  6. Step 6: Final answer
    x = 801.64

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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.