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Finding the Fourth Proportional to 745.00, 1,028.09 and 430.14

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Solution

The fourth proportional to 745.00, 1,028.09 and 430.14 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.00 : 1,028.09 = 430.14 : x
  2. Step 2: Convert to fraction form
    745.00/1,028.09 = 430.14/x
  3. Step 3: Cross multiply
    745.00x = 1,028.09 × 430.14
  4. Step 4: Simplify right side
    745.00x = 442,227.56
  5. Step 5: Solve for x
    x = 442,227.56/745.00
  6. Step 6: Final answer
    x = 593.60

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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.