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Finding the Fourth Proportional to 1,119.08, 1,544.90 and 699.67

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Solution

The fourth proportional to 1,119.08, 1,544.90 and 699.67 is: 965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.08 : 1,544.90 = 699.67 : x
  2. Step 2: Convert to fraction form
    1,119.08/1,544.90 = 699.67/x
  3. Step 3: Cross multiply
    1,119.08x = 1,544.90 × 699.67
  4. Step 4: Simplify right side
    1,119.08x = 1,080,912.82
  5. Step 5: Solve for x
    x = 1,080,912.82/1,119.08
  6. Step 6: Final answer
    x = 965.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.