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Finding the Fourth Proportional to 1,232.41, 1,848.80 and 452.23

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Solution

The fourth proportional to 1,232.41, 1,848.80 and 452.23 is: 678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.41 : 1,848.80 = 452.23 : x
  2. Step 2: Convert to fraction form
    1,232.41/1,848.80 = 452.23/x
  3. Step 3: Cross multiply
    1,232.41x = 1,848.80 × 452.23
  4. Step 4: Simplify right side
    1,232.41x = 836,082.82
  5. Step 5: Solve for x
    x = 836,082.82/1,232.41
  6. Step 6: Final answer
    x = 678.41

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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.