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Finding the Fourth Proportional to 1,294.60, 1,942.20 and 472.78

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Solution

The fourth proportional to 1,294.60, 1,942.20 and 472.78 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.60 : 1,942.20 = 472.78 : x
  2. Step 2: Convert to fraction form
    1,294.60/1,942.20 = 472.78/x
  3. Step 3: Cross multiply
    1,294.60x = 1,942.20 × 472.78
  4. Step 4: Simplify right side
    1,294.60x = 918,233.32
  5. Step 5: Solve for x
    x = 918,233.32/1,294.60
  6. Step 6: Final answer
    x = 709.28

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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.