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Finding the Fourth Proportional to 704.76, 971.94 and 547.44

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Solution

The fourth proportional to 704.76, 971.94 and 547.44 is: 754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 971.94 = 547.44 : x
  2. Step 2: Convert to fraction form
    704.76/971.94 = 547.44/x
  3. Step 3: Cross multiply
    704.76x = 971.94 × 547.44
  4. Step 4: Simplify right side
    704.76x = 532,078.83
  5. Step 5: Solve for x
    x = 532,078.83/704.76
  6. Step 6: Final answer
    x = 754.98

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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.