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Finding the Fourth Proportional to 1,173.44, 1,760.26 and 307.75

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Solution

The fourth proportional to 1,173.44, 1,760.26 and 307.75 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.44 : 1,760.26 = 307.75 : x
  2. Step 2: Convert to fraction form
    1,173.44/1,760.26 = 307.75/x
  3. Step 3: Cross multiply
    1,173.44x = 1,760.26 × 307.75
  4. Step 4: Simplify right side
    1,173.44x = 541,720.02
  5. Step 5: Solve for x
    x = 541,720.02/1,173.44
  6. Step 6: Final answer
    x = 461.65

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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.