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Finding the Fourth Proportional to 745.52, 1,028.81 and 414.00

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Solution

The fourth proportional to 745.52, 1,028.81 and 414.00 is: 571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.52 : 1,028.81 = 414.00 : x
  2. Step 2: Convert to fraction form
    745.52/1,028.81 = 414.00/x
  3. Step 3: Cross multiply
    745.52x = 1,028.81 × 414.00
  4. Step 4: Simplify right side
    745.52x = 425,922.20
  5. Step 5: Solve for x
    x = 425,922.20/745.52
  6. Step 6: Final answer
    x = 571.31

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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.