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Finding the Fourth Proportional to 853.47, 1,281.42 and 814.32

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Solution

The fourth proportional to 853.47, 1,281.42 and 814.32 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.47 : 1,281.42 = 814.32 : x
  2. Step 2: Convert to fraction form
    853.47/1,281.42 = 814.32/x
  3. Step 3: Cross multiply
    853.47x = 1,281.42 × 814.32
  4. Step 4: Simplify right side
    853.47x = 1,043,485.93
  5. Step 5: Solve for x
    x = 1,043,485.93/853.47
  6. Step 6: Final answer
    x = 1,222.64

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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.