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Finding the Fourth Proportional to 1,181.07, 1,772.40 and 411.57

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Solution

The fourth proportional to 1,181.07, 1,772.40 and 411.57 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.07 : 1,772.40 = 411.57 : x
  2. Step 2: Convert to fraction form
    1,181.07/1,772.40 = 411.57/x
  3. Step 3: Cross multiply
    1,181.07x = 1,772.40 × 411.57
  4. Step 4: Simplify right side
    1,181.07x = 729,466.67
  5. Step 5: Solve for x
    x = 729,466.67/1,181.07
  6. Step 6: Final answer
    x = 617.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.