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Finding the Fourth Proportional to 1,669.11, 2,502.30 and 695.94

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Solution

The fourth proportional to 1,669.11, 2,502.30 and 695.94 is: 1,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.11 : 2,502.30 = 695.94 : x
  2. Step 2: Convert to fraction form
    1,669.11/2,502.30 = 695.94/x
  3. Step 3: Cross multiply
    1,669.11x = 2,502.30 × 695.94
  4. Step 4: Simplify right side
    1,669.11x = 1,741,450.66
  5. Step 5: Solve for x
    x = 1,741,450.66/1,669.11
  6. Step 6: Final answer
    x = 1,043.34

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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.