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Finding the Fourth Proportional to 1,419.10, 1,958.38 and 781.08

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Solution

The fourth proportional to 1,419.10, 1,958.38 and 781.08 is: 1,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.10 : 1,958.38 = 781.08 : x
  2. Step 2: Convert to fraction form
    1,419.10/1,958.38 = 781.08/x
  3. Step 3: Cross multiply
    1,419.10x = 1,958.38 × 781.08
  4. Step 4: Simplify right side
    1,419.10x = 1,529,651.45
  5. Step 5: Solve for x
    x = 1,529,651.45/1,419.10
  6. Step 6: Final answer
    x = 1,077.90

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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.