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Finding the Fourth Proportional to 714.44, 983.90 and 712.34

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Solution

The fourth proportional to 714.44, 983.90 and 712.34 is: 981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.44 : 983.90 = 712.34 : x
  2. Step 2: Convert to fraction form
    714.44/983.90 = 712.34/x
  3. Step 3: Cross multiply
    714.44x = 983.90 × 712.34
  4. Step 4: Simplify right side
    714.44x = 700,873.40
  5. Step 5: Solve for x
    x = 700,873.40/714.44
  6. Step 6: Final answer
    x = 981.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.