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Finding the Fourth Proportional to 667.23, 919.87 and 574.95

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Solution

The fourth proportional to 667.23, 919.87 and 574.95 is: 792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.23 : 919.87 = 574.95 : x
  2. Step 2: Convert to fraction form
    667.23/919.87 = 574.95/x
  3. Step 3: Cross multiply
    667.23x = 919.87 × 574.95
  4. Step 4: Simplify right side
    667.23x = 528,879.26
  5. Step 5: Solve for x
    x = 528,879.26/667.23
  6. Step 6: Final answer
    x = 792.65

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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.