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Finding the Fourth Proportional to 676.37, 931.24 and 577.73

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Solution

The fourth proportional to 676.37, 931.24 and 577.73 is: 795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.37 : 931.24 = 577.73 : x
  2. Step 2: Convert to fraction form
    676.37/931.24 = 577.73/x
  3. Step 3: Cross multiply
    676.37x = 931.24 × 577.73
  4. Step 4: Simplify right side
    676.37x = 538,005.29
  5. Step 5: Solve for x
    x = 538,005.29/676.37
  6. Step 6: Final answer
    x = 795.43

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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.