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Finding the Fourth Proportional to 669.85, 926.37 and 586.82

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Solution

The fourth proportional to 669.85, 926.37 and 586.82 is: 811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.85 : 926.37 = 586.82 : x
  2. Step 2: Convert to fraction form
    669.85/926.37 = 586.82/x
  3. Step 3: Cross multiply
    669.85x = 926.37 × 586.82
  4. Step 4: Simplify right side
    669.85x = 543,612.44
  5. Step 5: Solve for x
    x = 543,612.44/669.85
  6. Step 6: Final answer
    x = 811.54

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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.