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Finding the Fourth Proportional to 1,101.97, 1,651.04 and 668.21

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Solution

The fourth proportional to 1,101.97, 1,651.04 and 668.21 is: 1,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.97 : 1,651.04 = 668.21 : x
  2. Step 2: Convert to fraction form
    1,101.97/1,651.04 = 668.21/x
  3. Step 3: Cross multiply
    1,101.97x = 1,651.04 × 668.21
  4. Step 4: Simplify right side
    1,101.97x = 1,103,238.10
  5. Step 5: Solve for x
    x = 1,103,238.10/1,101.97
  6. Step 6: Final answer
    x = 1,001.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.