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Finding the Fourth Proportional to 836.26, 1,254.41 and 471.04

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Solution

The fourth proportional to 836.26, 1,254.41 and 471.04 is: 706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.26 : 1,254.41 = 471.04 : x
  2. Step 2: Convert to fraction form
    836.26/1,254.41 = 471.04/x
  3. Step 3: Cross multiply
    836.26x = 1,254.41 × 471.04
  4. Step 4: Simplify right side
    836.26x = 590,878.41
  5. Step 5: Solve for x
    x = 590,878.41/836.26
  6. Step 6: Final answer
    x = 706.57

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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.