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Finding the Fourth Proportional to 824.07, 1,137.39 and 559.05

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Solution

The fourth proportional to 824.07, 1,137.39 and 559.05 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.07 : 1,137.39 = 559.05 : x
  2. Step 2: Convert to fraction form
    824.07/1,137.39 = 559.05/x
  3. Step 3: Cross multiply
    824.07x = 1,137.39 × 559.05
  4. Step 4: Simplify right side
    824.07x = 635,857.88
  5. Step 5: Solve for x
    x = 635,857.88/824.07
  6. Step 6: Final answer
    x = 771.61

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