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Finding the Fourth Proportional to 1,294.87, 1,942.56 and 417.49

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Solution

The fourth proportional to 1,294.87, 1,942.56 and 417.49 is: 626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.87 : 1,942.56 = 417.49 : x
  2. Step 2: Convert to fraction form
    1,294.87/1,942.56 = 417.49/x
  3. Step 3: Cross multiply
    1,294.87x = 1,942.56 × 417.49
  4. Step 4: Simplify right side
    1,294.87x = 810,999.37
  5. Step 5: Solve for x
    x = 810,999.37/1,294.87
  6. Step 6: Final answer
    x = 626.32

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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.