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Finding the Fourth Proportional to 1,119.08, 1,679.40 and 388.67

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Solution

The fourth proportional to 1,119.08, 1,679.40 and 388.67 is: 583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.08 : 1,679.40 = 388.67 : x
  2. Step 2: Convert to fraction form
    1,119.08/1,679.40 = 388.67/x
  3. Step 3: Cross multiply
    1,119.08x = 1,679.40 × 388.67
  4. Step 4: Simplify right side
    1,119.08x = 652,724.00
  5. Step 5: Solve for x
    x = 652,724.00/1,119.08
  6. Step 6: Final answer
    x = 583.27

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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.