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Finding the Fourth Proportional to 1,485.97, 2,050.65 and 822.84

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Solution

The fourth proportional to 1,485.97, 2,050.65 and 822.84 is: 1,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.97 : 2,050.65 = 822.84 : x
  2. Step 2: Convert to fraction form
    1,485.97/2,050.65 = 822.84/x
  3. Step 3: Cross multiply
    1,485.97x = 2,050.65 × 822.84
  4. Step 4: Simplify right side
    1,485.97x = 1,687,346.07
  5. Step 5: Solve for x
    x = 1,687,346.07/1,485.97
  6. Step 6: Final answer
    x = 1,135.52

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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.