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Finding the Fourth Proportional to 1,419.85, 1,959.21 and 790.36

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Solution

The fourth proportional to 1,419.85, 1,959.21 and 790.36 is: 1,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.85 : 1,959.21 = 790.36 : x
  2. Step 2: Convert to fraction form
    1,419.85/1,959.21 = 790.36/x
  3. Step 3: Cross multiply
    1,419.85x = 1,959.21 × 790.36
  4. Step 4: Simplify right side
    1,419.85x = 1,548,481.22
  5. Step 5: Solve for x
    x = 1,548,481.22/1,419.85
  6. Step 6: Final answer
    x = 1,090.59

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1.5x scale

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.