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Finding the Fourth Proportional to 1,683.09, 2,524.98 and 709.19

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Solution

The fourth proportional to 1,683.09, 2,524.98 and 709.19 is: 1,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.09 : 2,524.98 = 709.19 : x
  2. Step 2: Convert to fraction form
    1,683.09/2,524.98 = 709.19/x
  3. Step 3: Cross multiply
    1,683.09x = 2,524.98 × 709.19
  4. Step 4: Simplify right side
    1,683.09x = 1,790,691.06
  5. Step 5: Solve for x
    x = 1,790,691.06/1,683.09
  6. Step 6: Final answer
    x = 1,063.93

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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.