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Finding the Fourth Proportional to 814.53, 1,222.74 and 425.27

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Solution

The fourth proportional to 814.53, 1,222.74 and 425.27 is: 638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.53 : 1,222.74 = 425.27 : x
  2. Step 2: Convert to fraction form
    814.53/1,222.74 = 425.27/x
  3. Step 3: Cross multiply
    814.53x = 1,222.74 × 425.27
  4. Step 4: Simplify right side
    814.53x = 519,992.51
  5. Step 5: Solve for x
    x = 519,992.51/814.53
  6. Step 6: Final answer
    x = 638.40

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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.