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Finding the Fourth Proportional to 1,118.22, 1,674.89 and 539.88

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Solution

The fourth proportional to 1,118.22, 1,674.89 and 539.88 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.22 : 1,674.89 = 539.88 : x
  2. Step 2: Convert to fraction form
    1,118.22/1,674.89 = 539.88/x
  3. Step 3: Cross multiply
    1,118.22x = 1,674.89 × 539.88
  4. Step 4: Simplify right side
    1,118.22x = 904,239.61
  5. Step 5: Solve for x
    x = 904,239.61/1,118.22
  6. Step 6: Final answer
    x = 808.64

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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.