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Finding the Fourth Proportional to 1,110.84, 1,662.15 and 914.01

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Solution

The fourth proportional to 1,110.84, 1,662.15 and 914.01 is: 1,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.84 : 1,662.15 = 914.01 : x
  2. Step 2: Convert to fraction form
    1,110.84/1,662.15 = 914.01/x
  3. Step 3: Cross multiply
    1,110.84x = 1,662.15 × 914.01
  4. Step 4: Simplify right side
    1,110.84x = 1,519,221.72
  5. Step 5: Solve for x
    x = 1,519,221.72/1,110.84
  6. Step 6: Final answer
    x = 1,367.63

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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.