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Finding the Fourth Proportional to 1,629.09, 2,443.97 and 533.30

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Solution

The fourth proportional to 1,629.09, 2,443.97 and 533.30 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.09 : 2,443.97 = 533.30 : x
  2. Step 2: Convert to fraction form
    1,629.09/2,443.97 = 533.30/x
  3. Step 3: Cross multiply
    1,629.09x = 2,443.97 × 533.30
  4. Step 4: Simplify right side
    1,629.09x = 1,303,354.31
  5. Step 5: Solve for x
    x = 1,303,354.31/1,629.09
  6. Step 6: Final answer
    x = 800.05

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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.