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Finding the Fourth Proportional to 676.42, 931.17 and 593.38

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Solution

The fourth proportional to 676.42, 931.17 and 593.38 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.42 : 931.17 = 593.38 : x
  2. Step 2: Convert to fraction form
    676.42/931.17 = 593.38/x
  3. Step 3: Cross multiply
    676.42x = 931.17 × 593.38
  4. Step 4: Simplify right side
    676.42x = 552,537.65
  5. Step 5: Solve for x
    x = 552,537.65/676.42
  6. Step 6: Final answer
    x = 816.86

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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.