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Finding the Fourth Proportional to 1,485.99, 2,050.65 and 822.87

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Solution

The fourth proportional to 1,485.99, 2,050.65 and 822.87 is: 1,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.99 : 2,050.65 = 822.87 : x
  2. Step 2: Convert to fraction form
    1,485.99/2,050.65 = 822.87/x
  3. Step 3: Cross multiply
    1,485.99x = 2,050.65 × 822.87
  4. Step 4: Simplify right side
    1,485.99x = 1,687,418.37
  5. Step 5: Solve for x
    x = 1,687,418.37/1,485.99
  6. Step 6: Final answer
    x = 1,135.55

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Why These Related Problems?

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