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Finding the Fourth Proportional to 745.12, 1,028.29 and 409.00

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Solution

The fourth proportional to 745.12, 1,028.29 and 409.00 is: 564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.12 : 1,028.29 = 409.00 : x
  2. Step 2: Convert to fraction form
    745.12/1,028.29 = 409.00/x
  3. Step 3: Cross multiply
    745.12x = 1,028.29 × 409.00
  4. Step 4: Simplify right side
    745.12x = 420,567.02
  5. Step 5: Solve for x
    x = 420,567.02/745.12
  6. Step 6: Final answer
    x = 564.43

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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.