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Finding the Fourth Proportional to 1,175.76, 1,762.97 and 445.41

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Solution

The fourth proportional to 1,175.76, 1,762.97 and 445.41 is: 667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.76 : 1,762.97 = 445.41 : x
  2. Step 2: Convert to fraction form
    1,175.76/1,762.97 = 445.41/x
  3. Step 3: Cross multiply
    1,175.76x = 1,762.97 × 445.41
  4. Step 4: Simplify right side
    1,175.76x = 785,242.24
  5. Step 5: Solve for x
    x = 785,242.24/1,175.76
  6. Step 6: Final answer
    x = 667.86

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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.