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Finding the Fourth Proportional to 1,294.98, 1,942.68 and 514.98

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Solution

The fourth proportional to 1,294.98, 1,942.68 and 514.98 is: 772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.98 : 1,942.68 = 514.98 : x
  2. Step 2: Convert to fraction form
    1,294.98/1,942.68 = 514.98/x
  3. Step 3: Cross multiply
    1,294.98x = 1,942.68 × 514.98
  4. Step 4: Simplify right side
    1,294.98x = 1,000,441.35
  5. Step 5: Solve for x
    x = 1,000,441.35/1,294.98
  6. Step 6: Final answer
    x = 772.55

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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.