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Finding the Fourth Proportional to 853.39, 1,280.03 and 487.03

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Solution

The fourth proportional to 853.39, 1,280.03 and 487.03 is: 730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.39 : 1,280.03 = 487.03 : x
  2. Step 2: Convert to fraction form
    853.39/1,280.03 = 487.03/x
  3. Step 3: Cross multiply
    853.39x = 1,280.03 × 487.03
  4. Step 4: Simplify right side
    853.39x = 623,410.58
  5. Step 5: Solve for x
    x = 623,410.58/853.39
  6. Step 6: Final answer
    x = 730.51

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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.