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Finding the Fourth Proportional to 837.98, 1,156.38 and 459.89

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Solution

The fourth proportional to 837.98, 1,156.38 and 459.89 is: 634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.98 : 1,156.38 = 459.89 : x
  2. Step 2: Convert to fraction form
    837.98/1,156.38 = 459.89/x
  3. Step 3: Cross multiply
    837.98x = 1,156.38 × 459.89
  4. Step 4: Simplify right side
    837.98x = 531,807.60
  5. Step 5: Solve for x
    x = 531,807.60/837.98
  6. Step 6: Final answer
    x = 634.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.