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Finding the Fourth Proportional to 1,175.67, 1,762.38 and 445.68

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Solution

The fourth proportional to 1,175.67, 1,762.38 and 445.68 is: 668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.67 : 1,762.38 = 445.68 : x
  2. Step 2: Convert to fraction form
    1,175.67/1,762.38 = 445.68/x
  3. Step 3: Cross multiply
    1,175.67x = 1,762.38 × 445.68
  4. Step 4: Simplify right side
    1,175.67x = 785,457.52
  5. Step 5: Solve for x
    x = 785,457.52/1,175.67
  6. Step 6: Final answer
    x = 668.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.