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Finding the Fourth Proportional to 1,294.70, 1,942.84 and 514.56

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Solution

The fourth proportional to 1,294.70, 1,942.84 and 514.56 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.70 : 1,942.84 = 514.56 : x
  2. Step 2: Convert to fraction form
    1,294.70/1,942.84 = 514.56/x
  3. Step 3: Cross multiply
    1,294.70x = 1,942.84 × 514.56
  4. Step 4: Simplify right side
    1,294.70x = 999,707.75
  5. Step 5: Solve for x
    x = 999,707.75/1,294.70
  6. Step 6: Final answer
    x = 772.15

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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.