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Finding the Fourth Proportional to 714.42, 983.97 and 704.70

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Solution

The fourth proportional to 714.42, 983.97 and 704.70 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 983.97 = 704.70 : x
  2. Step 2: Convert to fraction form
    714.42/983.97 = 704.70/x
  3. Step 3: Cross multiply
    714.42x = 983.97 × 704.70
  4. Step 4: Simplify right side
    714.42x = 693,403.66
  5. Step 5: Solve for x
    x = 693,403.66/714.42
  6. Step 6: Final answer
    x = 970.58

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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.