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Finding the Fourth Proportional to 668.94, 920.67 and 586.26

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Solution

The fourth proportional to 668.94, 920.67 and 586.26 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.94 : 920.67 = 586.26 : x
  2. Step 2: Convert to fraction form
    668.94/920.67 = 586.26/x
  3. Step 3: Cross multiply
    668.94x = 920.67 × 586.26
  4. Step 4: Simplify right side
    668.94x = 539,751.99
  5. Step 5: Solve for x
    x = 539,751.99/668.94
  6. Step 6: Final answer
    x = 806.88

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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.