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Finding the Fourth Proportional to 1,419.82, 1,959.39 and 790.33

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Solution

The fourth proportional to 1,419.82, 1,959.39 and 790.33 is: 1,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.82 : 1,959.39 = 790.33 : x
  2. Step 2: Convert to fraction form
    1,419.82/1,959.39 = 790.33/x
  3. Step 3: Cross multiply
    1,419.82x = 1,959.39 × 790.33
  4. Step 4: Simplify right side
    1,419.82x = 1,548,564.70
  5. Step 5: Solve for x
    x = 1,548,564.70/1,419.82
  6. Step 6: Final answer
    x = 1,090.68

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