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Finding the Fourth Proportional to 1,683.09, 2,524.81 and 696.32

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Solution

The fourth proportional to 1,683.09, 2,524.81 and 696.32 is: 1,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.09 : 2,524.81 = 696.32 : x
  2. Step 2: Convert to fraction form
    1,683.09/2,524.81 = 696.32/x
  3. Step 3: Cross multiply
    1,683.09x = 2,524.81 × 696.32
  4. Step 4: Simplify right side
    1,683.09x = 1,758,061.33
  5. Step 5: Solve for x
    x = 1,758,061.33/1,683.09
  6. Step 6: Final answer
    x = 1,044.54

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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.