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Finding the Fourth Proportional to 1,453.27, 2,181.06 and 529.09

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Solution

The fourth proportional to 1,453.27, 2,181.06 and 529.09 is: 794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.27 : 2,181.06 = 529.09 : x
  2. Step 2: Convert to fraction form
    1,453.27/2,181.06 = 529.09/x
  3. Step 3: Cross multiply
    1,453.27x = 2,181.06 × 529.09
  4. Step 4: Simplify right side
    1,453.27x = 1,153,989.15
  5. Step 5: Solve for x
    x = 1,153,989.15/1,453.27
  6. Step 6: Final answer
    x = 794.07

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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.