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Finding the Fourth Proportional to 876.11, 1,208.56 and 577.31

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Solution

The fourth proportional to 876.11, 1,208.56 and 577.31 is: 796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.11 : 1,208.56 = 577.31 : x
  2. Step 2: Convert to fraction form
    876.11/1,208.56 = 577.31/x
  3. Step 3: Cross multiply
    876.11x = 1,208.56 × 577.31
  4. Step 4: Simplify right side
    876.11x = 697,713.77
  5. Step 5: Solve for x
    x = 697,713.77/876.11
  6. Step 6: Final answer
    x = 796.38

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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.