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Finding the Fourth Proportional to 1,404.56, 2,105.14 and 622.88

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Solution

The fourth proportional to 1,404.56, 2,105.14 and 622.88 is: 933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.56 : 2,105.14 = 622.88 : x
  2. Step 2: Convert to fraction form
    1,404.56/2,105.14 = 622.88/x
  3. Step 3: Cross multiply
    1,404.56x = 2,105.14 × 622.88
  4. Step 4: Simplify right side
    1,404.56x = 1,311,249.60
  5. Step 5: Solve for x
    x = 1,311,249.60/1,404.56
  6. Step 6: Final answer
    x = 933.57

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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.