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Finding the Fourth Proportional to 1,175.83, 1,764.02 and 445.42

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Solution

The fourth proportional to 1,175.83, 1,764.02 and 445.42 is: 668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.83 : 1,764.02 = 445.42 : x
  2. Step 2: Convert to fraction form
    1,175.83/1,764.02 = 445.42/x
  3. Step 3: Cross multiply
    1,175.83x = 1,764.02 × 445.42
  4. Step 4: Simplify right side
    1,175.83x = 785,729.79
  5. Step 5: Solve for x
    x = 785,729.79/1,175.83
  6. Step 6: Final answer
    x = 668.23

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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.