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Finding the Fourth Proportional to 1,323.86, 1,825.65 and 851.27

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Solution

The fourth proportional to 1,323.86, 1,825.65 and 851.27 is: 1,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.86 : 1,825.65 = 851.27 : x
  2. Step 2: Convert to fraction form
    1,323.86/1,825.65 = 851.27/x
  3. Step 3: Cross multiply
    1,323.86x = 1,825.65 × 851.27
  4. Step 4: Simplify right side
    1,323.86x = 1,554,111.95
  5. Step 5: Solve for x
    x = 1,554,111.95/1,323.86
  6. Step 6: Final answer
    x = 1,173.93

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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.