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Finding the Fourth Proportional to 1,294.92, 1,942.38 and 473.24

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Solution

The fourth proportional to 1,294.92, 1,942.38 and 473.24 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.92 : 1,942.38 = 473.24 : x
  2. Step 2: Convert to fraction form
    1,294.92/1,942.38 = 473.24/x
  3. Step 3: Cross multiply
    1,294.92x = 1,942.38 × 473.24
  4. Step 4: Simplify right side
    1,294.92x = 919,211.91
  5. Step 5: Solve for x
    x = 919,211.91/1,294.92
  6. Step 6: Final answer
    x = 709.86

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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.