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Finding the Fourth Proportional to 1,410.46, 1,947.39 and 879.55

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Solution

The fourth proportional to 1,410.46, 1,947.39 and 879.55 is: 1,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.46 : 1,947.39 = 879.55 : x
  2. Step 2: Convert to fraction form
    1,410.46/1,947.39 = 879.55/x
  3. Step 3: Cross multiply
    1,410.46x = 1,947.39 × 879.55
  4. Step 4: Simplify right side
    1,410.46x = 1,712,826.87
  5. Step 5: Solve for x
    x = 1,712,826.87/1,410.46
  6. Step 6: Final answer
    x = 1,214.37

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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.