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Finding the Fourth Proportional to 1,803.31, 2,704.98 and 504.88

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Solution

The fourth proportional to 1,803.31, 2,704.98 and 504.88 is: 757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.31 : 2,704.98 = 504.88 : x
  2. Step 2: Convert to fraction form
    1,803.31/2,704.98 = 504.88/x
  3. Step 3: Cross multiply
    1,803.31x = 2,704.98 × 504.88
  4. Step 4: Simplify right side
    1,803.31x = 1,365,690.30
  5. Step 5: Solve for x
    x = 1,365,690.30/1,803.31
  6. Step 6: Final answer
    x = 757.32

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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.