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Finding the Fourth Proportional to 1,239.40, 1,859.94 and 623.80

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Solution

The fourth proportional to 1,239.40, 1,859.94 and 623.80 is: 936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.40 : 1,859.94 = 623.80 : x
  2. Step 2: Convert to fraction form
    1,239.40/1,859.94 = 623.80/x
  3. Step 3: Cross multiply
    1,239.40x = 1,859.94 × 623.80
  4. Step 4: Simplify right side
    1,239.40x = 1,160,230.57
  5. Step 5: Solve for x
    x = 1,160,230.57/1,239.40
  6. Step 6: Final answer
    x = 936.12

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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.