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Finding the Fourth Proportional to 714.32, 983.46 and 622.28

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Solution

The fourth proportional to 714.32, 983.46 and 622.28 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.32 : 983.46 = 622.28 : x
  2. Step 2: Convert to fraction form
    714.32/983.46 = 622.28/x
  3. Step 3: Cross multiply
    714.32x = 983.46 × 622.28
  4. Step 4: Simplify right side
    714.32x = 611,987.49
  5. Step 5: Solve for x
    x = 611,987.49/714.32
  6. Step 6: Final answer
    x = 856.74

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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.