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Finding the Fourth Proportional to 1,242.88, 1,861.62 and 808.72

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Solution

The fourth proportional to 1,242.88, 1,861.62 and 808.72 is: 1,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.88 : 1,861.62 = 808.72 : x
  2. Step 2: Convert to fraction form
    1,242.88/1,861.62 = 808.72/x
  3. Step 3: Cross multiply
    1,242.88x = 1,861.62 × 808.72
  4. Step 4: Simplify right side
    1,242.88x = 1,505,529.33
  5. Step 5: Solve for x
    x = 1,505,529.33/1,242.88
  6. Step 6: Final answer
    x = 1,211.32

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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.