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Finding the Fourth Proportional to 1,181.56, 1,772.13 and 523.57

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Solution

The fourth proportional to 1,181.56, 1,772.13 and 523.57 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.56 : 1,772.13 = 523.57 : x
  2. Step 2: Convert to fraction form
    1,181.56/1,772.13 = 523.57/x
  3. Step 3: Cross multiply
    1,181.56x = 1,772.13 × 523.57
  4. Step 4: Simplify right side
    1,181.56x = 927,834.10
  5. Step 5: Solve for x
    x = 927,834.10/1,181.56
  6. Step 6: Final answer
    x = 785.26

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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.