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Finding the Fourth Proportional to 1,175.85, 1,763.87 and 395.85

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Solution

The fourth proportional to 1,175.85, 1,763.87 and 395.85 is: 593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.85 : 1,763.87 = 395.85 : x
  2. Step 2: Convert to fraction form
    1,175.85/1,763.87 = 395.85/x
  3. Step 3: Cross multiply
    1,175.85x = 1,763.87 × 395.85
  4. Step 4: Simplify right side
    1,175.85x = 698,225.96
  5. Step 5: Solve for x
    x = 698,225.96/1,175.85
  6. Step 6: Final answer
    x = 593.81

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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.