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Finding the Fourth Proportional to 1,119.68, 1,679.54 and 389.27

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Solution

The fourth proportional to 1,119.68, 1,679.54 and 389.27 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.68 : 1,679.54 = 389.27 : x
  2. Step 2: Convert to fraction form
    1,119.68/1,679.54 = 389.27/x
  3. Step 3: Cross multiply
    1,119.68x = 1,679.54 × 389.27
  4. Step 4: Simplify right side
    1,119.68x = 653,792.59
  5. Step 5: Solve for x
    x = 653,792.59/1,119.68
  6. Step 6: Final answer
    x = 583.91

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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.