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Finding the Fourth Proportional to 1,419.90, 1,959.22 and 888.96

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Solution

The fourth proportional to 1,419.90, 1,959.22 and 888.96 is: 1,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.90 : 1,959.22 = 888.96 : x
  2. Step 2: Convert to fraction form
    1,419.90/1,959.22 = 888.96/x
  3. Step 3: Cross multiply
    1,419.90x = 1,959.22 × 888.96
  4. Step 4: Simplify right side
    1,419.90x = 1,741,668.21
  5. Step 5: Solve for x
    x = 1,741,668.21/1,419.90
  6. Step 6: Final answer
    x = 1,226.61

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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.