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Finding the Fourth Proportional to 1,485.74, 2,050.11 and 822.58

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Solution

The fourth proportional to 1,485.74, 2,050.11 and 822.58 is: 1,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.74 : 2,050.11 = 822.58 : x
  2. Step 2: Convert to fraction form
    1,485.74/2,050.11 = 822.58/x
  3. Step 3: Cross multiply
    1,485.74x = 2,050.11 × 822.58
  4. Step 4: Simplify right side
    1,485.74x = 1,686,379.48
  5. Step 5: Solve for x
    x = 1,686,379.48/1,485.74
  6. Step 6: Final answer
    x = 1,135.04

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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.