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Finding the Fourth Proportional to 714.97, 986.99 and 537.99

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Solution

The fourth proportional to 714.97, 986.99 and 537.99 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 986.99 = 537.99 : x
  2. Step 2: Convert to fraction form
    714.97/986.99 = 537.99/x
  3. Step 3: Cross multiply
    714.97x = 986.99 × 537.99
  4. Step 4: Simplify right side
    714.97x = 530,993.78
  5. Step 5: Solve for x
    x = 530,993.78/714.97
  6. Step 6: Final answer
    x = 742.68

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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.