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Finding the Fourth Proportional to 714.02, 984.16 and 547.97

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Solution

The fourth proportional to 714.02, 984.16 and 547.97 is: 755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 984.16 = 547.97 : x
  2. Step 2: Convert to fraction form
    714.02/984.16 = 547.97/x
  3. Step 3: Cross multiply
    714.02x = 984.16 × 547.97
  4. Step 4: Simplify right side
    714.02x = 539,290.16
  5. Step 5: Solve for x
    x = 539,290.16/714.02
  6. Step 6: Final answer
    x = 755.29

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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.