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Finding the Fourth Proportional to 814.81, 1,222.90 and 540.07

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Solution

The fourth proportional to 814.81, 1,222.90 and 540.07 is: 810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.81 : 1,222.90 = 540.07 : x
  2. Step 2: Convert to fraction form
    814.81/1,222.90 = 540.07/x
  3. Step 3: Cross multiply
    814.81x = 1,222.90 × 540.07
  4. Step 4: Simplify right side
    814.81x = 660,447.20
  5. Step 5: Solve for x
    x = 660,447.20/814.81
  6. Step 6: Final answer
    x = 810.55

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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.