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Finding the Fourth Proportional to 946.94, 1,306.73 and 610.46

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Solution

The fourth proportional to 946.94, 1,306.73 and 610.46 is: 842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.94 : 1,306.73 = 610.46 : x
  2. Step 2: Convert to fraction form
    946.94/1,306.73 = 610.46/x
  3. Step 3: Cross multiply
    946.94x = 1,306.73 × 610.46
  4. Step 4: Simplify right side
    946.94x = 797,709.96
  5. Step 5: Solve for x
    x = 797,709.96/946.94
  6. Step 6: Final answer
    x = 842.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.