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Finding the Fourth Proportional to 837.22, 1,155.84 and 505.78

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Solution

The fourth proportional to 837.22, 1,155.84 and 505.78 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.22 : 1,155.84 = 505.78 : x
  2. Step 2: Convert to fraction form
    837.22/1,155.84 = 505.78/x
  3. Step 3: Cross multiply
    837.22x = 1,155.84 × 505.78
  4. Step 4: Simplify right side
    837.22x = 584,600.76
  5. Step 5: Solve for x
    x = 584,600.76/837.22
  6. Step 6: Final answer
    x = 698.26

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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.