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Finding the Fourth Proportional to 814.85, 1,222.71 and 541.07

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Solution

The fourth proportional to 814.85, 1,222.71 and 541.07 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.85 : 1,222.71 = 541.07 : x
  2. Step 2: Convert to fraction form
    814.85/1,222.71 = 541.07/x
  3. Step 3: Cross multiply
    814.85x = 1,222.71 × 541.07
  4. Step 4: Simplify right side
    814.85x = 661,568.64
  5. Step 5: Solve for x
    x = 661,568.64/814.85
  6. Step 6: Final answer
    x = 811.89

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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.