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Finding the Fourth Proportional to 1,222.83, 1,832.59 and 563.26

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Solution

The fourth proportional to 1,222.83, 1,832.59 and 563.26 is: 844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.83 : 1,832.59 = 563.26 : x
  2. Step 2: Convert to fraction form
    1,222.83/1,832.59 = 563.26/x
  3. Step 3: Cross multiply
    1,222.83x = 1,832.59 × 563.26
  4. Step 4: Simplify right side
    1,222.83x = 1,032,226.98
  5. Step 5: Solve for x
    x = 1,032,226.98/1,222.83
  6. Step 6: Final answer
    x = 844.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.