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Finding the Fourth Proportional to 1,131.69, 1,695.22 and 668.07

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Solution

The fourth proportional to 1,131.69, 1,695.22 and 668.07 is: 1,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.69 : 1,695.22 = 668.07 : x
  2. Step 2: Convert to fraction form
    1,131.69/1,695.22 = 668.07/x
  3. Step 3: Cross multiply
    1,131.69x = 1,695.22 × 668.07
  4. Step 4: Simplify right side
    1,131.69x = 1,132,513.81
  5. Step 5: Solve for x
    x = 1,132,513.81/1,131.69
  6. Step 6: Final answer
    x = 1,000.73

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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.