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Finding the Fourth Proportional to 838.30, 1,256.40 and 427.60

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Solution

The fourth proportional to 838.30, 1,256.40 and 427.60 is: 640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,256.40 = 427.60 : x
  2. Step 2: Convert to fraction form
    838.30/1,256.40 = 427.60/x
  3. Step 3: Cross multiply
    838.30x = 1,256.40 × 427.60
  4. Step 4: Simplify right side
    838.30x = 537,236.64
  5. Step 5: Solve for x
    x = 537,236.64/838.30
  6. Step 6: Final answer
    x = 640.86

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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.