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Finding the Fourth Proportional to 853.12, 1,280.90 and 814.24

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Solution

The fourth proportional to 853.12, 1,280.90 and 814.24 is: 1,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.12 : 1,280.90 = 814.24 : x
  2. Step 2: Convert to fraction form
    853.12/1,280.90 = 814.24/x
  3. Step 3: Cross multiply
    853.12x = 1,280.90 × 814.24
  4. Step 4: Simplify right side
    853.12x = 1,042,955.94
  5. Step 5: Solve for x
    x = 1,042,955.94/853.12
  6. Step 6: Final answer
    x = 1,222.52

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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.