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Finding the Fourth Proportional to 1,118.45, 1,674.80 and 1,085.61

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Solution

The fourth proportional to 1,118.45, 1,674.80 and 1,085.61 is: 1,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.45 : 1,674.80 = 1,085.61 : x
  2. Step 2: Convert to fraction form
    1,118.45/1,674.80 = 1,085.61/x
  3. Step 3: Cross multiply
    1,118.45x = 1,674.80 × 1,085.61
  4. Step 4: Simplify right side
    1,118.45x = 1,818,174.20
  5. Step 5: Solve for x
    x = 1,818,174.20/1,118.45
  6. Step 6: Final answer
    x = 1,625.63

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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.