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Finding the Fourth Proportional to 824.14, 1,234.98 and 803.76

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Solution

The fourth proportional to 824.14, 1,234.98 and 803.76 is: 1,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.14 : 1,234.98 = 803.76 : x
  2. Step 2: Convert to fraction form
    824.14/1,234.98 = 803.76/x
  3. Step 3: Cross multiply
    824.14x = 1,234.98 × 803.76
  4. Step 4: Simplify right side
    824.14x = 992,627.52
  5. Step 5: Solve for x
    x = 992,627.52/824.14
  6. Step 6: Final answer
    x = 1,204.44

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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.