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Finding the Fourth Proportional to 1,669.40, 2,504.28 and 696.08

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Solution

The fourth proportional to 1,669.40, 2,504.28 and 696.08 is: 1,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.40 : 2,504.28 = 696.08 : x
  2. Step 2: Convert to fraction form
    1,669.40/2,504.28 = 696.08/x
  3. Step 3: Cross multiply
    1,669.40x = 2,504.28 × 696.08
  4. Step 4: Simplify right side
    1,669.40x = 1,743,179.22
  5. Step 5: Solve for x
    x = 1,743,179.22/1,669.40
  6. Step 6: Final answer
    x = 1,044.20

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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.