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Finding the Fourth Proportional to 1,077.26, 1,483.99 and 745.11

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Solution

The fourth proportional to 1,077.26, 1,483.99 and 745.11 is: 1,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.26 : 1,483.99 = 745.11 : x
  2. Step 2: Convert to fraction form
    1,077.26/1,483.99 = 745.11/x
  3. Step 3: Cross multiply
    1,077.26x = 1,483.99 × 745.11
  4. Step 4: Simplify right side
    1,077.26x = 1,105,733.93
  5. Step 5: Solve for x
    x = 1,105,733.93/1,077.26
  6. Step 6: Final answer
    x = 1,026.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.