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Finding the Fourth Proportional to 1,294.22, 1,941.36 and 514.04

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Solution

The fourth proportional to 1,294.22, 1,941.36 and 514.04 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.22 : 1,941.36 = 514.04 : x
  2. Step 2: Convert to fraction form
    1,294.22/1,941.36 = 514.04/x
  3. Step 3: Cross multiply
    1,294.22x = 1,941.36 × 514.04
  4. Step 4: Simplify right side
    1,294.22x = 997,936.69
  5. Step 5: Solve for x
    x = 997,936.69/1,294.22
  6. Step 6: Final answer
    x = 771.07

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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.