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Finding the Fourth Proportional to 897.34, 1,343.84 and 622.66

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Solution

The fourth proportional to 897.34, 1,343.84 and 622.66 is: 932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.34 : 1,343.84 = 622.66 : x
  2. Step 2: Convert to fraction form
    897.34/1,343.84 = 622.66/x
  3. Step 3: Cross multiply
    897.34x = 1,343.84 × 622.66
  4. Step 4: Simplify right side
    897.34x = 836,755.41
  5. Step 5: Solve for x
    x = 836,755.41/897.34
  6. Step 6: Final answer
    x = 932.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.