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Finding the Fourth Proportional to 1,208.10, 1,812.57 and 745.26

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Solution

The fourth proportional to 1,208.10, 1,812.57 and 745.26 is: 1,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.10 : 1,812.57 = 745.26 : x
  2. Step 2: Convert to fraction form
    1,208.10/1,812.57 = 745.26/x
  3. Step 3: Cross multiply
    1,208.10x = 1,812.57 × 745.26
  4. Step 4: Simplify right side
    1,208.10x = 1,350,835.92
  5. Step 5: Solve for x
    x = 1,350,835.92/1,208.10
  6. Step 6: Final answer
    x = 1,118.15

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