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Finding the Fourth Proportional to 1,181.74, 1,772.79 and 412.06

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Solution

The fourth proportional to 1,181.74, 1,772.79 and 412.06 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.74 : 1,772.79 = 412.06 : x
  2. Step 2: Convert to fraction form
    1,181.74/1,772.79 = 412.06/x
  3. Step 3: Cross multiply
    1,181.74x = 1,772.79 × 412.06
  4. Step 4: Simplify right side
    1,181.74x = 730,495.85
  5. Step 5: Solve for x
    x = 730,495.85/1,181.74
  6. Step 6: Final answer
    x = 618.15

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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.