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Finding the Fourth Proportional to 818.30, 1,224.52 and 704.09

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Solution

The fourth proportional to 818.30, 1,224.52 and 704.09 is: 1,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.30 : 1,224.52 = 704.09 : x
  2. Step 2: Convert to fraction form
    818.30/1,224.52 = 704.09/x
  3. Step 3: Cross multiply
    818.30x = 1,224.52 × 704.09
  4. Step 4: Simplify right side
    818.30x = 862,173.59
  5. Step 5: Solve for x
    x = 862,173.59/818.30
  6. Step 6: Final answer
    x = 1,053.61

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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.