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Finding the Fourth Proportional to 836.45, 1,254.64 and 471.21

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Solution

The fourth proportional to 836.45, 1,254.64 and 471.21 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.45 : 1,254.64 = 471.21 : x
  2. Step 2: Convert to fraction form
    836.45/1,254.64 = 471.21/x
  3. Step 3: Cross multiply
    836.45x = 1,254.64 × 471.21
  4. Step 4: Simplify right side
    836.45x = 591,198.91
  5. Step 5: Solve for x
    x = 591,198.91/836.45
  6. Step 6: Final answer
    x = 706.80

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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.