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Finding the Fourth Proportional to 837.75, 1,156.14 and 488.55

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Solution

The fourth proportional to 837.75, 1,156.14 and 488.55 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.75 : 1,156.14 = 488.55 : x
  2. Step 2: Convert to fraction form
    837.75/1,156.14 = 488.55/x
  3. Step 3: Cross multiply
    837.75x = 1,156.14 × 488.55
  4. Step 4: Simplify right side
    837.75x = 564,832.20
  5. Step 5: Solve for x
    x = 564,832.20/837.75
  6. Step 6: Final answer
    x = 674.23

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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.