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Finding the Fourth Proportional to 994.09, 1,480.64 and 942.05

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Solution

The fourth proportional to 994.09, 1,480.64 and 942.05 is: 1,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.09 : 1,480.64 = 942.05 : x
  2. Step 2: Convert to fraction form
    994.09/1,480.64 = 942.05/x
  3. Step 3: Cross multiply
    994.09x = 1,480.64 × 942.05
  4. Step 4: Simplify right side
    994.09x = 1,394,836.91
  5. Step 5: Solve for x
    x = 1,394,836.91/994.09
  6. Step 6: Final answer
    x = 1,403.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.