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Finding the Fourth Proportional to 674.42, 928.80 and 632.75

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Solution

The fourth proportional to 674.42, 928.80 and 632.75 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 928.80 = 632.75 : x
  2. Step 2: Convert to fraction form
    674.42/928.80 = 632.75/x
  3. Step 3: Cross multiply
    674.42x = 928.80 × 632.75
  4. Step 4: Simplify right side
    674.42x = 587,693.56
  5. Step 5: Solve for x
    x = 587,693.56/674.42
  6. Step 6: Final answer
    x = 871.41

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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.