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Finding the Fourth Proportional to 714.82, 991.08 and 690.82

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Solution

The fourth proportional to 714.82, 991.08 and 690.82 is: 957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.82 : 991.08 = 690.82 : x
  2. Step 2: Convert to fraction form
    714.82/991.08 = 690.82/x
  3. Step 3: Cross multiply
    714.82x = 991.08 × 690.82
  4. Step 4: Simplify right side
    714.82x = 684,654.43
  5. Step 5: Solve for x
    x = 684,654.43/714.82
  6. Step 6: Final answer
    x = 957.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.