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Finding the Fourth Proportional to 814.93, 1,222.53 and 404.08

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Solution

The fourth proportional to 814.93, 1,222.53 and 404.08 is: 606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.93 : 1,222.53 = 404.08 : x
  2. Step 2: Convert to fraction form
    814.93/1,222.53 = 404.08/x
  3. Step 3: Cross multiply
    814.93x = 1,222.53 × 404.08
  4. Step 4: Simplify right side
    814.93x = 493,995.35
  5. Step 5: Solve for x
    x = 493,995.35/814.93
  6. Step 6: Final answer
    x = 606.18

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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.