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Finding the Fourth Proportional to 894, 1,234.20 and 697.04

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Solution

The fourth proportional to 894, 1,234.20 and 697.04 is: 962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    894 : 1,234.20 = 697.04 : x
  2. Step 2: Convert to fraction form
    894/1,234.20 = 697.04/x
  3. Step 3: Cross multiply
    894x = 1,234.20 × 697.04
  4. Step 4: Simplify right side
    894x = 860,286.77
  5. Step 5: Solve for x
    x = 860,286.77/894
  6. Step 6: Final answer
    x = 962.29

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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.