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Finding the Fourth Proportional to 858.27, 1,285.79 and 824.25

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Solution

The fourth proportional to 858.27, 1,285.79 and 824.25 is: 1,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.27 : 1,285.79 = 824.25 : x
  2. Step 2: Convert to fraction form
    858.27/1,285.79 = 824.25/x
  3. Step 3: Cross multiply
    858.27x = 1,285.79 × 824.25
  4. Step 4: Simplify right side
    858.27x = 1,059,808.29
  5. Step 5: Solve for x
    x = 1,059,808.29/858.27
  6. Step 6: Final answer
    x = 1,234.82

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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.