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Finding the Fourth Proportional to 1,610.42, 2,416.28 and 788.68

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Solution

The fourth proportional to 1,610.42, 2,416.28 and 788.68 is: 1,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.42 : 2,416.28 = 788.68 : x
  2. Step 2: Convert to fraction form
    1,610.42/2,416.28 = 788.68/x
  3. Step 3: Cross multiply
    1,610.42x = 2,416.28 × 788.68
  4. Step 4: Simplify right side
    1,610.42x = 1,905,661.73
  5. Step 5: Solve for x
    x = 1,905,661.73/1,610.42
  6. Step 6: Final answer
    x = 1,183.33

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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.