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Finding the Fourth Proportional to 1,239.38, 1,859.26 and 589.89

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Solution

The fourth proportional to 1,239.38, 1,859.26 and 589.89 is: 884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.38 : 1,859.26 = 589.89 : x
  2. Step 2: Convert to fraction form
    1,239.38/1,859.26 = 589.89/x
  3. Step 3: Cross multiply
    1,239.38x = 1,859.26 × 589.89
  4. Step 4: Simplify right side
    1,239.38x = 1,096,758.88
  5. Step 5: Solve for x
    x = 1,096,758.88/1,239.38
  6. Step 6: Final answer
    x = 884.93

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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.