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Finding the Fourth Proportional to 674.12, 926.92 and 575.70

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Solution

The fourth proportional to 674.12, 926.92 and 575.70 is: 791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 926.92 = 575.70 : x
  2. Step 2: Convert to fraction form
    674.12/926.92 = 575.70/x
  3. Step 3: Cross multiply
    674.12x = 926.92 × 575.70
  4. Step 4: Simplify right side
    674.12x = 533,627.84
  5. Step 5: Solve for x
    x = 533,627.84/674.12
  6. Step 6: Final answer
    x = 791.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.