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Finding the Fourth Proportional to 941.69, 1,412.77 and 292.43

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Solution

The fourth proportional to 941.69, 1,412.77 and 292.43 is: 438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.69 : 1,412.77 = 292.43 : x
  2. Step 2: Convert to fraction form
    941.69/1,412.77 = 292.43/x
  3. Step 3: Cross multiply
    941.69x = 1,412.77 × 292.43
  4. Step 4: Simplify right side
    941.69x = 413,128.54
  5. Step 5: Solve for x
    x = 413,128.54/941.69
  6. Step 6: Final answer
    x = 438.71

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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.