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Finding the Fourth Proportional to 949.86, 1,422.54 and 461.34

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Solution

The fourth proportional to 949.86, 1,422.54 and 461.34 is: 690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.86 : 1,422.54 = 461.34 : x
  2. Step 2: Convert to fraction form
    949.86/1,422.54 = 461.34/x
  3. Step 3: Cross multiply
    949.86x = 1,422.54 × 461.34
  4. Step 4: Simplify right side
    949.86x = 656,274.60
  5. Step 5: Solve for x
    x = 656,274.60/949.86
  6. Step 6: Final answer
    x = 690.92

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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.