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Finding the Fourth Proportional to 1,105.80, 1,650.14 and 983.10

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Solution

The fourth proportional to 1,105.80, 1,650.14 and 983.10 is: 1,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.80 : 1,650.14 = 983.10 : x
  2. Step 2: Convert to fraction form
    1,105.80/1,650.14 = 983.10/x
  3. Step 3: Cross multiply
    1,105.80x = 1,650.14 × 983.10
  4. Step 4: Simplify right side
    1,105.80x = 1,622,252.63
  5. Step 5: Solve for x
    x = 1,622,252.63/1,105.80
  6. Step 6: Final answer
    x = 1,467.04

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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.