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Finding the Fourth Proportional to 853.87, 1,281.09 and 420.73

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Solution

The fourth proportional to 853.87, 1,281.09 and 420.73 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.87 : 1,281.09 = 420.73 : x
  2. Step 2: Convert to fraction form
    853.87/1,281.09 = 420.73/x
  3. Step 3: Cross multiply
    853.87x = 1,281.09 × 420.73
  4. Step 4: Simplify right side
    853.87x = 538,993.00
  5. Step 5: Solve for x
    x = 538,993.00/853.87
  6. Step 6: Final answer
    x = 631.24

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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.