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Finding the Fourth Proportional to 676.13, 1,012.93 and 531.41

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Solution

The fourth proportional to 676.13, 1,012.93 and 531.41 is: 796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 1,012.93 = 531.41 : x
  2. Step 2: Convert to fraction form
    676.13/1,012.93 = 531.41/x
  3. Step 3: Cross multiply
    676.13x = 1,012.93 × 531.41
  4. Step 4: Simplify right side
    676.13x = 538,281.13
  5. Step 5: Solve for x
    x = 538,281.13/676.13
  6. Step 6: Final answer
    x = 796.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.