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Finding the Fourth Proportional to 836.64, 1,256.18 and 617.94

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Solution

The fourth proportional to 836.64, 1,256.18 and 617.94 is: 927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.64 : 1,256.18 = 617.94 : x
  2. Step 2: Convert to fraction form
    836.64/1,256.18 = 617.94/x
  3. Step 3: Cross multiply
    836.64x = 1,256.18 × 617.94
  4. Step 4: Simplify right side
    836.64x = 776,240.78
  5. Step 5: Solve for x
    x = 776,240.78/836.64
  6. Step 6: Final answer
    x = 927.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.