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Finding the Fourth Proportional to 1,119.39, 1,679.37 and 349.89

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Solution

The fourth proportional to 1,119.39, 1,679.37 and 349.89 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.39 : 1,679.37 = 349.89 : x
  2. Step 2: Convert to fraction form
    1,119.39/1,679.37 = 349.89/x
  3. Step 3: Cross multiply
    1,119.39x = 1,679.37 × 349.89
  4. Step 4: Simplify right side
    1,119.39x = 587,594.77
  5. Step 5: Solve for x
    x = 587,594.77/1,119.39
  6. Step 6: Final answer
    x = 524.92

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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.