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Finding the Fourth Proportional to 1,613.14, 2,419.78 and 639.25

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Solution

The fourth proportional to 1,613.14, 2,419.78 and 639.25 is: 958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.14 : 2,419.78 = 639.25 : x
  2. Step 2: Convert to fraction form
    1,613.14/2,419.78 = 639.25/x
  3. Step 3: Cross multiply
    1,613.14x = 2,419.78 × 639.25
  4. Step 4: Simplify right side
    1,613.14x = 1,546,844.37
  5. Step 5: Solve for x
    x = 1,546,844.37/1,613.14
  6. Step 6: Final answer
    x = 958.90

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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.