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Finding the Fourth Proportional to 1,160.88, 1,738.44 and 813.36

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Solution

The fourth proportional to 1,160.88, 1,738.44 and 813.36 is: 1,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.88 : 1,738.44 = 813.36 : x
  2. Step 2: Convert to fraction form
    1,160.88/1,738.44 = 813.36/x
  3. Step 3: Cross multiply
    1,160.88x = 1,738.44 × 813.36
  4. Step 4: Simplify right side
    1,160.88x = 1,413,977.56
  5. Step 5: Solve for x
    x = 1,413,977.56/1,160.88
  6. Step 6: Final answer
    x = 1,218.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.