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Finding the Fourth Proportional to 794.96, 1,097.03 and 445.65

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Solution

The fourth proportional to 794.96, 1,097.03 and 445.65 is: 614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,097.03 = 445.65 : x
  2. Step 2: Convert to fraction form
    794.96/1,097.03 = 445.65/x
  3. Step 3: Cross multiply
    794.96x = 1,097.03 × 445.65
  4. Step 4: Simplify right side
    794.96x = 488,891.42
  5. Step 5: Solve for x
    x = 488,891.42/794.96
  6. Step 6: Final answer
    x = 614.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.