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Finding the Fourth Proportional to 1,419.44, 1,958.88 and 830.08

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Solution

The fourth proportional to 1,419.44, 1,958.88 and 830.08 is: 1,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.44 : 1,958.88 = 830.08 : x
  2. Step 2: Convert to fraction form
    1,419.44/1,958.88 = 830.08/x
  3. Step 3: Cross multiply
    1,419.44x = 1,958.88 × 830.08
  4. Step 4: Simplify right side
    1,419.44x = 1,626,027.11
  5. Step 5: Solve for x
    x = 1,626,027.11/1,419.44
  6. Step 6: Final answer
    x = 1,145.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.