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Finding the Fourth Proportional to 1,205.82, 1,662.87 and 762.93

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Solution

The fourth proportional to 1,205.82, 1,662.87 and 762.93 is: 1,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.82 : 1,662.87 = 762.93 : x
  2. Step 2: Convert to fraction form
    1,205.82/1,662.87 = 762.93/x
  3. Step 3: Cross multiply
    1,205.82x = 1,662.87 × 762.93
  4. Step 4: Simplify right side
    1,205.82x = 1,268,653.41
  5. Step 5: Solve for x
    x = 1,268,653.41/1,205.82
  6. Step 6: Final answer
    x = 1,052.11

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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.