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Finding the Fourth Proportional to 1,121.63, 1,671.29 and 998.94

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Solution

The fourth proportional to 1,121.63, 1,671.29 and 998.94 is: 1,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.63 : 1,671.29 = 998.94 : x
  2. Step 2: Convert to fraction form
    1,121.63/1,671.29 = 998.94/x
  3. Step 3: Cross multiply
    1,121.63x = 1,671.29 × 998.94
  4. Step 4: Simplify right side
    1,121.63x = 1,669,523.45
  5. Step 5: Solve for x
    x = 1,669,523.45/1,121.63
  6. Step 6: Final answer
    x = 1,488.49

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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.