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Finding the Fourth Proportional to 1,222.75, 1,832.91 and 572.32

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Solution

The fourth proportional to 1,222.75, 1,832.91 and 572.32 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.75 : 1,832.91 = 572.32 : x
  2. Step 2: Convert to fraction form
    1,222.75/1,832.91 = 572.32/x
  3. Step 3: Cross multiply
    1,222.75x = 1,832.91 × 572.32
  4. Step 4: Simplify right side
    1,222.75x = 1,049,011.05
  5. Step 5: Solve for x
    x = 1,049,011.05/1,222.75
  6. Step 6: Final answer
    x = 857.91

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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.