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Finding the Fourth Proportional to 1,232.09, 1,848.81 and 529.24

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Solution

The fourth proportional to 1,232.09, 1,848.81 and 529.24 is: 794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.09 : 1,848.81 = 529.24 : x
  2. Step 2: Convert to fraction form
    1,232.09/1,848.81 = 529.24/x
  3. Step 3: Cross multiply
    1,232.09x = 1,848.81 × 529.24
  4. Step 4: Simplify right side
    1,232.09x = 978,464.20
  5. Step 5: Solve for x
    x = 978,464.20/1,232.09
  6. Step 6: Final answer
    x = 794.15

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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.