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Finding the Fourth Proportional to 559.82, 844.74 and 537.35

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Solution

The fourth proportional to 559.82, 844.74 and 537.35 is: 810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.82 : 844.74 = 537.35 : x
  2. Step 2: Convert to fraction form
    559.82/844.74 = 537.35/x
  3. Step 3: Cross multiply
    559.82x = 844.74 × 537.35
  4. Step 4: Simplify right side
    559.82x = 453,921.04
  5. Step 5: Solve for x
    x = 453,921.04/559.82
  6. Step 6: Final answer
    x = 810.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.