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Finding the Fourth Proportional to 1,100.07, 1,518.53 and 745.81

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Solution

The fourth proportional to 1,100.07, 1,518.53 and 745.81 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.07 : 1,518.53 = 745.81 : x
  2. Step 2: Convert to fraction form
    1,100.07/1,518.53 = 745.81/x
  3. Step 3: Cross multiply
    1,100.07x = 1,518.53 × 745.81
  4. Step 4: Simplify right side
    1,100.07x = 1,132,527.33
  5. Step 5: Solve for x
    x = 1,132,527.33/1,100.07
  6. Step 6: Final answer
    x = 1,029.50

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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.