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Finding the Fourth Proportional to 853.90, 1,281.32 and 649.73

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Solution

The fourth proportional to 853.90, 1,281.32 and 649.73 is: 974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,281.32 = 649.73 : x
  2. Step 2: Convert to fraction form
    853.90/1,281.32 = 649.73/x
  3. Step 3: Cross multiply
    853.90x = 1,281.32 × 649.73
  4. Step 4: Simplify right side
    853.90x = 832,512.04
  5. Step 5: Solve for x
    x = 832,512.04/853.90
  6. Step 6: Final answer
    x = 974.95

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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.