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Finding the Fourth Proportional to 745.63, 1,028.76 and 450.69

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Solution

The fourth proportional to 745.63, 1,028.76 and 450.69 is: 621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,028.76 = 450.69 : x
  2. Step 2: Convert to fraction form
    745.63/1,028.76 = 450.69/x
  3. Step 3: Cross multiply
    745.63x = 1,028.76 × 450.69
  4. Step 4: Simplify right side
    745.63x = 463,651.84
  5. Step 5: Solve for x
    x = 463,651.84/745.63
  6. Step 6: Final answer
    x = 621.83

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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.