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Finding the Fourth Proportional to 714.80, 990.14 and 700.22

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Solution

The fourth proportional to 714.80, 990.14 and 700.22 is: 969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 990.14 = 700.22 : x
  2. Step 2: Convert to fraction form
    714.80/990.14 = 700.22/x
  3. Step 3: Cross multiply
    714.80x = 990.14 × 700.22
  4. Step 4: Simplify right side
    714.80x = 693,310.00
  5. Step 5: Solve for x
    x = 693,310.00/714.80
  6. Step 6: Final answer
    x = 969.94

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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.