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Finding the Fourth Proportional to 1,362.26, 2,042.48 and 745.50

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Solution

The fourth proportional to 1,362.26, 2,042.48 and 745.50 is: 1,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.26 : 2,042.48 = 745.50 : x
  2. Step 2: Convert to fraction form
    1,362.26/2,042.48 = 745.50/x
  3. Step 3: Cross multiply
    1,362.26x = 2,042.48 × 745.50
  4. Step 4: Simplify right side
    1,362.26x = 1,522,668.84
  5. Step 5: Solve for x
    x = 1,522,668.84/1,362.26
  6. Step 6: Final answer
    x = 1,117.75

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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.