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Finding the Fourth Proportional to 746.82, 1,028.97 and 513.54

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Solution

The fourth proportional to 746.82, 1,028.97 and 513.54 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.82 : 1,028.97 = 513.54 : x
  2. Step 2: Convert to fraction form
    746.82/1,028.97 = 513.54/x
  3. Step 3: Cross multiply
    746.82x = 1,028.97 × 513.54
  4. Step 4: Simplify right side
    746.82x = 528,417.25
  5. Step 5: Solve for x
    x = 528,417.25/746.82
  6. Step 6: Final answer
    x = 707.56

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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.