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Finding the Fourth Proportional to 838.64, 1,255.62 and 426.89

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Solution

The fourth proportional to 838.64, 1,255.62 and 426.89 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.64 : 1,255.62 = 426.89 : x
  2. Step 2: Convert to fraction form
    838.64/1,255.62 = 426.89/x
  3. Step 3: Cross multiply
    838.64x = 1,255.62 × 426.89
  4. Step 4: Simplify right side
    838.64x = 536,005.34
  5. Step 5: Solve for x
    x = 536,005.34/838.64
  6. Step 6: Final answer
    x = 639.14

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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.