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Finding the Fourth Proportional to 822.80, 1,234.68 and 389.96

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Solution

The fourth proportional to 822.80, 1,234.68 and 389.96 is: 585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.80 : 1,234.68 = 389.96 : x
  2. Step 2: Convert to fraction form
    822.80/1,234.68 = 389.96/x
  3. Step 3: Cross multiply
    822.80x = 1,234.68 × 389.96
  4. Step 4: Simplify right side
    822.80x = 481,475.81
  5. Step 5: Solve for x
    x = 481,475.81/822.80
  6. Step 6: Final answer
    x = 585.17

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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.