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Finding the Fourth Proportional to 1,298.54, 1,791.05 and 826.01

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Solution

The fourth proportional to 1,298.54, 1,791.05 and 826.01 is: 1,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.54 : 1,791.05 = 826.01 : x
  2. Step 2: Convert to fraction form
    1,298.54/1,791.05 = 826.01/x
  3. Step 3: Cross multiply
    1,298.54x = 1,791.05 × 826.01
  4. Step 4: Simplify right side
    1,298.54x = 1,479,418.84
  5. Step 5: Solve for x
    x = 1,479,418.84/1,298.54
  6. Step 6: Final answer
    x = 1,139.29

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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.