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Finding the Fourth Proportional to 822.66, 1,234.21 and 457.70

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Solution

The fourth proportional to 822.66, 1,234.21 and 457.70 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.66 : 1,234.21 = 457.70 : x
  2. Step 2: Convert to fraction form
    822.66/1,234.21 = 457.70/x
  3. Step 3: Cross multiply
    822.66x = 1,234.21 × 457.70
  4. Step 4: Simplify right side
    822.66x = 564,891.75
  5. Step 5: Solve for x
    x = 564,891.75/822.66
  6. Step 6: Final answer
    x = 686.67

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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.