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Finding the Fourth Proportional to 1,008.30, 1,512.44 and 663.80

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Solution

The fourth proportional to 1,008.30, 1,512.44 and 663.80 is: 995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.30 : 1,512.44 = 663.80 : x
  2. Step 2: Convert to fraction form
    1,008.30/1,512.44 = 663.80/x
  3. Step 3: Cross multiply
    1,008.30x = 1,512.44 × 663.80
  4. Step 4: Simplify right side
    1,008.30x = 1,003,957.67
  5. Step 5: Solve for x
    x = 1,003,957.67/1,008.30
  6. Step 6: Final answer
    x = 995.69

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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.