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Finding the Fourth Proportional to 1,294.71, 1,942.07 and 320.80

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Solution

The fourth proportional to 1,294.71, 1,942.07 and 320.80 is: 481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.71 : 1,942.07 = 320.80 : x
  2. Step 2: Convert to fraction form
    1,294.71/1,942.07 = 320.80/x
  3. Step 3: Cross multiply
    1,294.71x = 1,942.07 × 320.80
  4. Step 4: Simplify right side
    1,294.71x = 623,014.45
  5. Step 5: Solve for x
    x = 623,014.45/1,294.71
  6. Step 6: Final answer
    x = 481.20

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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.