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Finding the Fourth Proportional to 1,175.87, 1,763.53 and 354.20

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Solution

The fourth proportional to 1,175.87, 1,763.53 and 354.20 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.87 : 1,763.53 = 354.20 : x
  2. Step 2: Convert to fraction form
    1,175.87/1,763.53 = 354.20/x
  3. Step 3: Cross multiply
    1,175.87x = 1,763.53 × 354.20
  4. Step 4: Simplify right side
    1,175.87x = 624,632.62
  5. Step 5: Solve for x
    x = 624,632.62/1,175.87
  6. Step 6: Final answer
    x = 531.21

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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.