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Finding the Fourth Proportional to 1,323.98, 1,828.42 and 858.50

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Solution

The fourth proportional to 1,323.98, 1,828.42 and 858.50 is: 1,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.98 : 1,828.42 = 858.50 : x
  2. Step 2: Convert to fraction form
    1,323.98/1,828.42 = 858.50/x
  3. Step 3: Cross multiply
    1,323.98x = 1,828.42 × 858.50
  4. Step 4: Simplify right side
    1,323.98x = 1,569,698.57
  5. Step 5: Solve for x
    x = 1,569,698.57/1,323.98
  6. Step 6: Final answer
    x = 1,185.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.