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Finding the Fourth Proportional to 1,420.07, 1,959.12 and 896.27

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Solution

The fourth proportional to 1,420.07, 1,959.12 and 896.27 is: 1,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.07 : 1,959.12 = 896.27 : x
  2. Step 2: Convert to fraction form
    1,420.07/1,959.12 = 896.27/x
  3. Step 3: Cross multiply
    1,420.07x = 1,959.12 × 896.27
  4. Step 4: Simplify right side
    1,420.07x = 1,755,890.69
  5. Step 5: Solve for x
    x = 1,755,890.69/1,420.07
  6. Step 6: Final answer
    x = 1,236.49

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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.