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Finding the Fourth Proportional to 822.77, 1,234.16 and 459.87

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Solution

The fourth proportional to 822.77, 1,234.16 and 459.87 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,234.16 = 459.87 : x
  2. Step 2: Convert to fraction form
    822.77/1,234.16 = 459.87/x
  3. Step 3: Cross multiply
    822.77x = 1,234.16 × 459.87
  4. Step 4: Simplify right side
    822.77x = 567,546.99
  5. Step 5: Solve for x
    x = 567,546.99/822.77
  6. Step 6: Final answer
    x = 689.80

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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.