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Finding the Fourth Proportional to 1,294.41, 1,940.76 and 670.11

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Solution

The fourth proportional to 1,294.41, 1,940.76 and 670.11 is: 1,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.41 : 1,940.76 = 670.11 : x
  2. Step 2: Convert to fraction form
    1,294.41/1,940.76 = 670.11/x
  3. Step 3: Cross multiply
    1,294.41x = 1,940.76 × 670.11
  4. Step 4: Simplify right side
    1,294.41x = 1,300,522.68
  5. Step 5: Solve for x
    x = 1,300,522.68/1,294.41
  6. Step 6: Final answer
    x = 1,004.72

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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.