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Finding the Fourth Proportional to 822.40, 1,230.66 and 658.91

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Solution

The fourth proportional to 822.40, 1,230.66 and 658.91 is: 986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.40 : 1,230.66 = 658.91 : x
  2. Step 2: Convert to fraction form
    822.40/1,230.66 = 658.91/x
  3. Step 3: Cross multiply
    822.40x = 1,230.66 × 658.91
  4. Step 4: Simplify right side
    822.40x = 810,899.56
  5. Step 5: Solve for x
    x = 810,899.56/822.40
  6. Step 6: Final answer
    x = 986.02

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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.