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Finding the Fourth Proportional to 890.72, 1,234.40 and 873.44

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Solution

The fourth proportional to 890.72, 1,234.40 and 873.44 is: 1,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.72 : 1,234.40 = 873.44 : x
  2. Step 2: Convert to fraction form
    890.72/1,234.40 = 873.44/x
  3. Step 3: Cross multiply
    890.72x = 1,234.40 × 873.44
  4. Step 4: Simplify right side
    890.72x = 1,078,174.34
  5. Step 5: Solve for x
    x = 1,078,174.34/890.72
  6. Step 6: Final answer
    x = 1,210.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.