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Finding the Fourth Proportional to 1,404.53, 2,108.36 and 820.22

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Solution

The fourth proportional to 1,404.53, 2,108.36 and 820.22 is: 1,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.53 : 2,108.36 = 820.22 : x
  2. Step 2: Convert to fraction form
    1,404.53/2,108.36 = 820.22/x
  3. Step 3: Cross multiply
    1,404.53x = 2,108.36 × 820.22
  4. Step 4: Simplify right side
    1,404.53x = 1,729,304.40
  5. Step 5: Solve for x
    x = 1,729,304.40/1,404.53
  6. Step 6: Final answer
    x = 1,231.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.