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Finding the Fourth Proportional to 890.29, 1,333.67 and 814.15

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Solution

The fourth proportional to 890.29, 1,333.67 and 814.15 is: 1,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.29 : 1,333.67 = 814.15 : x
  2. Step 2: Convert to fraction form
    890.29/1,333.67 = 814.15/x
  3. Step 3: Cross multiply
    890.29x = 1,333.67 × 814.15
  4. Step 4: Simplify right side
    890.29x = 1,085,805.03
  5. Step 5: Solve for x
    x = 1,085,805.03/890.29
  6. Step 6: Final answer
    x = 1,219.61

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Why These Related Problems?

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