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Finding the Fourth Proportional to 1,223.08, 1,832.82 and 573.64

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Solution

The fourth proportional to 1,223.08, 1,832.82 and 573.64 is: 859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.08 : 1,832.82 = 573.64 : x
  2. Step 2: Convert to fraction form
    1,223.08/1,832.82 = 573.64/x
  3. Step 3: Cross multiply
    1,223.08x = 1,832.82 × 573.64
  4. Step 4: Simplify right side
    1,223.08x = 1,051,378.86
  5. Step 5: Solve for x
    x = 1,051,378.86/1,223.08
  6. Step 6: Final answer
    x = 859.62

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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.