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Finding the Fourth Proportional to 1,295.22, 1,940.91 and 669.11

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Solution

The fourth proportional to 1,295.22, 1,940.91 and 669.11 is: 1,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.22 : 1,940.91 = 669.11 : x
  2. Step 2: Convert to fraction form
    1,295.22/1,940.91 = 669.11/x
  3. Step 3: Cross multiply
    1,295.22x = 1,940.91 × 669.11
  4. Step 4: Simplify right side
    1,295.22x = 1,298,670.08
  5. Step 5: Solve for x
    x = 1,298,670.08/1,295.22
  6. Step 6: Final answer
    x = 1,002.66

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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.