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Finding the Fourth Proportional to 1,054.05, 1,576.49 and 795.26

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Solution

The fourth proportional to 1,054.05, 1,576.49 and 795.26 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.05 : 1,576.49 = 795.26 : x
  2. Step 2: Convert to fraction form
    1,054.05/1,576.49 = 795.26/x
  3. Step 3: Cross multiply
    1,054.05x = 1,576.49 × 795.26
  4. Step 4: Simplify right side
    1,054.05x = 1,253,707.58
  5. Step 5: Solve for x
    x = 1,253,707.58/1,054.05
  6. Step 6: Final answer
    x = 1,189.42

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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.