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Finding the Fourth Proportional to 814.19, 1,218.45 and 666.23

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Solution

The fourth proportional to 814.19, 1,218.45 and 666.23 is: 997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.19 : 1,218.45 = 666.23 : x
  2. Step 2: Convert to fraction form
    814.19/1,218.45 = 666.23/x
  3. Step 3: Cross multiply
    814.19x = 1,218.45 × 666.23
  4. Step 4: Simplify right side
    814.19x = 811,767.94
  5. Step 5: Solve for x
    x = 811,767.94/814.19
  6. Step 6: Final answer
    x = 997.03

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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.