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Finding the Fourth Proportional to 1,818.52, 2,727.24 and 664

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Solution

The fourth proportional to 1,818.52, 2,727.24 and 664 is: 995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.52 : 2,727.24 = 664 : x
  2. Step 2: Convert to fraction form
    1,818.52/2,727.24 = 664/x
  3. Step 3: Cross multiply
    1,818.52x = 2,727.24 × 664
  4. Step 4: Simplify right side
    1,818.52x = 1,810,887.36
  5. Step 5: Solve for x
    x = 1,810,887.36/1,818.52
  6. Step 6: Final answer
    x = 995.80

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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.