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Finding the Fourth Proportional to 701.68, 967.71 and 452.92

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Solution

The fourth proportional to 701.68, 967.71 and 452.92 is: 624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 967.71 = 452.92 : x
  2. Step 2: Convert to fraction form
    701.68/967.71 = 452.92/x
  3. Step 3: Cross multiply
    701.68x = 967.71 × 452.92
  4. Step 4: Simplify right side
    701.68x = 438,295.21
  5. Step 5: Solve for x
    x = 438,295.21/701.68
  6. Step 6: Final answer
    x = 624.64

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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.