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Finding the Fourth Proportional to 844.93, 1,167.51 and 658.90

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Solution

The fourth proportional to 844.93, 1,167.51 and 658.90 is: 910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,167.51 = 658.90 : x
  2. Step 2: Convert to fraction form
    844.93/1,167.51 = 658.90/x
  3. Step 3: Cross multiply
    844.93x = 1,167.51 × 658.90
  4. Step 4: Simplify right side
    844.93x = 769,272.34
  5. Step 5: Solve for x
    x = 769,272.34/844.93
  6. Step 6: Final answer
    x = 910.46

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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.