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Finding the Fourth Proportional to 1,173.75, 1,761.29 and 524.44

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Solution

The fourth proportional to 1,173.75, 1,761.29 and 524.44 is: 786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.75 : 1,761.29 = 524.44 : x
  2. Step 2: Convert to fraction form
    1,173.75/1,761.29 = 524.44/x
  3. Step 3: Cross multiply
    1,173.75x = 1,761.29 × 524.44
  4. Step 4: Simplify right side
    1,173.75x = 923,690.93
  5. Step 5: Solve for x
    x = 923,690.93/1,173.75
  6. Step 6: Final answer
    x = 786.96

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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.