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Finding the Fourth Proportional to 1,435.74, 2,150.55 and 694.23

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Solution

The fourth proportional to 1,435.74, 2,150.55 and 694.23 is: 1,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.74 : 2,150.55 = 694.23 : x
  2. Step 2: Convert to fraction form
    1,435.74/2,150.55 = 694.23/x
  3. Step 3: Cross multiply
    1,435.74x = 2,150.55 × 694.23
  4. Step 4: Simplify right side
    1,435.74x = 1,492,976.33
  5. Step 5: Solve for x
    x = 1,492,976.33/1,435.74
  6. Step 6: Final answer
    x = 1,039.87

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