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Finding the Fourth Proportional to 1,234.04, 1,850.72 and 412.34

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Solution

The fourth proportional to 1,234.04, 1,850.72 and 412.34 is: 618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.04 : 1,850.72 = 412.34 : x
  2. Step 2: Convert to fraction form
    1,234.04/1,850.72 = 412.34/x
  3. Step 3: Cross multiply
    1,234.04x = 1,850.72 × 412.34
  4. Step 4: Simplify right side
    1,234.04x = 763,125.88
  5. Step 5: Solve for x
    x = 763,125.88/1,234.04
  6. Step 6: Final answer
    x = 618.40

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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.