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Finding the Fourth Proportional to 1,294.17, 1,940.09 and 514.00

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Solution

The fourth proportional to 1,294.17, 1,940.09 and 514.00 is: 770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.17 : 1,940.09 = 514.00 : x
  2. Step 2: Convert to fraction form
    1,294.17/1,940.09 = 514.00/x
  3. Step 3: Cross multiply
    1,294.17x = 1,940.09 × 514.00
  4. Step 4: Simplify right side
    1,294.17x = 997,204.27
  5. Step 5: Solve for x
    x = 997,204.27/1,294.17
  6. Step 6: Final answer
    x = 770.53

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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.