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Finding the Fourth Proportional to 837.68, 1,156.14 and 506.25

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Solution

The fourth proportional to 837.68, 1,156.14 and 506.25 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,156.14 = 506.25 : x
  2. Step 2: Convert to fraction form
    837.68/1,156.14 = 506.25/x
  3. Step 3: Cross multiply
    837.68x = 1,156.14 × 506.25
  4. Step 4: Simplify right side
    837.68x = 585,295.88
  5. Step 5: Solve for x
    x = 585,295.88/837.68
  6. Step 6: Final answer
    x = 698.71

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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.