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Finding the Fourth Proportional to 1,180.75, 1,771.06 and 359.02

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Solution

The fourth proportional to 1,180.75, 1,771.06 and 359.02 is: 538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.75 : 1,771.06 = 359.02 : x
  2. Step 2: Convert to fraction form
    1,180.75/1,771.06 = 359.02/x
  3. Step 3: Cross multiply
    1,180.75x = 1,771.06 × 359.02
  4. Step 4: Simplify right side
    1,180.75x = 635,845.96
  5. Step 5: Solve for x
    x = 635,845.96/1,180.75
  6. Step 6: Final answer
    x = 538.51

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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.