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Finding the Fourth Proportional to 1,298.68, 1,791.52 and 879.05

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Solution

The fourth proportional to 1,298.68, 1,791.52 and 879.05 is: 1,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.68 : 1,791.52 = 879.05 : x
  2. Step 2: Convert to fraction form
    1,298.68/1,791.52 = 879.05/x
  3. Step 3: Cross multiply
    1,298.68x = 1,791.52 × 879.05
  4. Step 4: Simplify right side
    1,298.68x = 1,574,837.94
  5. Step 5: Solve for x
    x = 1,574,837.94/1,298.68
  6. Step 6: Final answer
    x = 1,212.64

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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.