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Finding the Fourth Proportional to 609, 838.62 and 546.72

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Solution

The fourth proportional to 609, 838.62 and 546.72 is: 752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 838.62 = 546.72 : x
  2. Step 2: Convert to fraction form
    609/838.62 = 546.72/x
  3. Step 3: Cross multiply
    609x = 838.62 × 546.72
  4. Step 4: Simplify right side
    609x = 458,490.33
  5. Step 5: Solve for x
    x = 458,490.33/609
  6. Step 6: Final answer
    x = 752.86

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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.