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Finding the Fourth Proportional to 1,233.06, 1,848.50 and 411.11

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Solution

The fourth proportional to 1,233.06, 1,848.50 and 411.11 is: 616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.06 : 1,848.50 = 411.11 : x
  2. Step 2: Convert to fraction form
    1,233.06/1,848.50 = 411.11/x
  3. Step 3: Cross multiply
    1,233.06x = 1,848.50 × 411.11
  4. Step 4: Simplify right side
    1,233.06x = 759,936.84
  5. Step 5: Solve for x
    x = 759,936.84/1,233.06
  6. Step 6: Final answer
    x = 616.30

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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.