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Finding the Fourth Proportional to 1,403.99, 2,105.37 and 745.72

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Solution

The fourth proportional to 1,403.99, 2,105.37 and 745.72 is: 1,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.99 : 2,105.37 = 745.72 : x
  2. Step 2: Convert to fraction form
    1,403.99/2,105.37 = 745.72/x
  3. Step 3: Cross multiply
    1,403.99x = 2,105.37 × 745.72
  4. Step 4: Simplify right side
    1,403.99x = 1,570,009.39
  5. Step 5: Solve for x
    x = 1,570,009.39/1,403.99
  6. Step 6: Final answer
    x = 1,118.25

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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.