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Finding the Fourth Proportional to 1,419.85, 1,959.11 and 830.27

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Solution

The fourth proportional to 1,419.85, 1,959.11 and 830.27 is: 1,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.85 : 1,959.11 = 830.27 : x
  2. Step 2: Convert to fraction form
    1,419.85/1,959.11 = 830.27/x
  3. Step 3: Cross multiply
    1,419.85x = 1,959.11 × 830.27
  4. Step 4: Simplify right side
    1,419.85x = 1,626,594.12
  5. Step 5: Solve for x
    x = 1,626,594.12/1,419.85
  6. Step 6: Final answer
    x = 1,145.61

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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.