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Finding the Fourth Proportional to 714.02, 992.13 and 706.43

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Solution

The fourth proportional to 714.02, 992.13 and 706.43 is: 981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 992.13 = 706.43 : x
  2. Step 2: Convert to fraction form
    714.02/992.13 = 706.43/x
  3. Step 3: Cross multiply
    714.02x = 992.13 × 706.43
  4. Step 4: Simplify right side
    714.02x = 700,865.44
  5. Step 5: Solve for x
    x = 700,865.44/714.02
  6. Step 6: Final answer
    x = 981.58

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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.