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Finding the Fourth Proportional to 1,323.60, 1,983.30 and 1,048.98

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Solution

The fourth proportional to 1,323.60, 1,983.30 and 1,048.98 is: 1,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.60 : 1,983.30 = 1,048.98 : x
  2. Step 2: Convert to fraction form
    1,323.60/1,983.30 = 1,048.98/x
  3. Step 3: Cross multiply
    1,323.60x = 1,983.30 × 1,048.98
  4. Step 4: Simplify right side
    1,323.60x = 2,080,442.03
  5. Step 5: Solve for x
    x = 2,080,442.03/1,323.60
  6. Step 6: Final answer
    x = 1,571.81

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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.