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Finding the Fourth Proportional to 704.94, 971.91 and 455.82

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Solution

The fourth proportional to 704.94, 971.91 and 455.82 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.94 : 971.91 = 455.82 : x
  2. Step 2: Convert to fraction form
    704.94/971.91 = 455.82/x
  3. Step 3: Cross multiply
    704.94x = 971.91 × 455.82
  4. Step 4: Simplify right side
    704.94x = 443,016.02
  5. Step 5: Solve for x
    x = 443,016.02/704.94
  6. Step 6: Final answer
    x = 628.44

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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.