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Finding the Fourth Proportional to 837.60, 1,254.46 and 420.40

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Solution

The fourth proportional to 837.60, 1,254.46 and 420.40 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.60 : 1,254.46 = 420.40 : x
  2. Step 2: Convert to fraction form
    837.60/1,254.46 = 420.40/x
  3. Step 3: Cross multiply
    837.60x = 1,254.46 × 420.40
  4. Step 4: Simplify right side
    837.60x = 527,374.98
  5. Step 5: Solve for x
    x = 527,374.98/837.60
  6. Step 6: Final answer
    x = 629.63

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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.