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Finding the Fourth Proportional to 1,420.20, 1,959.30 and 896.76

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Solution

The fourth proportional to 1,420.20, 1,959.30 and 896.76 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.20 : 1,959.30 = 896.76 : x
  2. Step 2: Convert to fraction form
    1,420.20/1,959.30 = 896.76/x
  3. Step 3: Cross multiply
    1,420.20x = 1,959.30 × 896.76
  4. Step 4: Simplify right side
    1,420.20x = 1,757,021.87
  5. Step 5: Solve for x
    x = 1,757,021.87/1,420.20
  6. Step 6: Final answer
    x = 1,237.17

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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.