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Finding the Fourth Proportional to 1,081.21, 1,622.08 and 464.58

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Solution

The fourth proportional to 1,081.21, 1,622.08 and 464.58 is: 696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.21 : 1,622.08 = 464.58 : x
  2. Step 2: Convert to fraction form
    1,081.21/1,622.08 = 464.58/x
  3. Step 3: Cross multiply
    1,081.21x = 1,622.08 × 464.58
  4. Step 4: Simplify right side
    1,081.21x = 753,579.33
  5. Step 5: Solve for x
    x = 753,579.33/1,081.21
  6. Step 6: Final answer
    x = 696.98

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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.