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Finding the Fourth Proportional to 701.90, 967.73 and 462.59

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Solution

The fourth proportional to 701.90, 967.73 and 462.59 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.90 : 967.73 = 462.59 : x
  2. Step 2: Convert to fraction form
    701.90/967.73 = 462.59/x
  3. Step 3: Cross multiply
    701.90x = 967.73 × 462.59
  4. Step 4: Simplify right side
    701.90x = 447,656.31
  5. Step 5: Solve for x
    x = 447,656.31/701.90
  6. Step 6: Final answer
    x = 637.78

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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.