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Finding the Fourth Proportional to 1,294.49, 1,942.20 and 800.32

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Solution

The fourth proportional to 1,294.49, 1,942.20 and 800.32 is: 1,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.49 : 1,942.20 = 800.32 : x
  2. Step 2: Convert to fraction form
    1,294.49/1,942.20 = 800.32/x
  3. Step 3: Cross multiply
    1,294.49x = 1,942.20 × 800.32
  4. Step 4: Simplify right side
    1,294.49x = 1,554,367.79
  5. Step 5: Solve for x
    x = 1,554,367.79/1,294.49
  6. Step 6: Final answer
    x = 1,200.76

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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.