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Finding the Fourth Proportional to 746.88, 1,029.92 and 589.25

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Solution

The fourth proportional to 746.88, 1,029.92 and 589.25 is: 812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.88 : 1,029.92 = 589.25 : x
  2. Step 2: Convert to fraction form
    746.88/1,029.92 = 589.25/x
  3. Step 3: Cross multiply
    746.88x = 1,029.92 × 589.25
  4. Step 4: Simplify right side
    746.88x = 606,872.26
  5. Step 5: Solve for x
    x = 606,872.26/746.88
  6. Step 6: Final answer
    x = 812.54

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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.