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Finding the Fourth Proportional to 1,111.22, 1,666.84 and 380.82

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Solution

The fourth proportional to 1,111.22, 1,666.84 and 380.82 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.22 : 1,666.84 = 380.82 : x
  2. Step 2: Convert to fraction form
    1,111.22/1,666.84 = 380.82/x
  3. Step 3: Cross multiply
    1,111.22x = 1,666.84 × 380.82
  4. Step 4: Simplify right side
    1,111.22x = 634,766.01
  5. Step 5: Solve for x
    x = 634,766.01/1,111.22
  6. Step 6: Final answer
    x = 571.23

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