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Finding the Fourth Proportional to 1,608.22, 2,412.65 and 683.77

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Solution

The fourth proportional to 1,608.22, 2,412.65 and 683.77 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.22 : 2,412.65 = 683.77 : x
  2. Step 2: Convert to fraction form
    1,608.22/2,412.65 = 683.77/x
  3. Step 3: Cross multiply
    1,608.22x = 2,412.65 × 683.77
  4. Step 4: Simplify right side
    1,608.22x = 1,649,697.69
  5. Step 5: Solve for x
    x = 1,649,697.69/1,608.22
  6. Step 6: Final answer
    x = 1,025.79

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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.