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Finding the Fourth Proportional to 745.03, 1,027.57 and 449.99

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Solution

The fourth proportional to 745.03, 1,027.57 and 449.99 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.03 : 1,027.57 = 449.99 : x
  2. Step 2: Convert to fraction form
    745.03/1,027.57 = 449.99/x
  3. Step 3: Cross multiply
    745.03x = 1,027.57 × 449.99
  4. Step 4: Simplify right side
    745.03x = 462,388.84
  5. Step 5: Solve for x
    x = 462,388.84/745.03
  6. Step 6: Final answer
    x = 620.64

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Why These Related Problems?

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