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Finding the Fourth Proportional to 1,232.55, 1,848.30 and 399.37

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Solution

The fourth proportional to 1,232.55, 1,848.30 and 399.37 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.55 : 1,848.30 = 399.37 : x
  2. Step 2: Convert to fraction form
    1,232.55/1,848.30 = 399.37/x
  3. Step 3: Cross multiply
    1,232.55x = 1,848.30 × 399.37
  4. Step 4: Simplify right side
    1,232.55x = 738,155.57
  5. Step 5: Solve for x
    x = 738,155.57/1,232.55
  6. Step 6: Final answer
    x = 598.88

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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.