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Finding the Fourth Proportional to 794.99, 1,097.15 and 440.94

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Solution

The fourth proportional to 794.99, 1,097.15 and 440.94 is: 608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.99 : 1,097.15 = 440.94 : x
  2. Step 2: Convert to fraction form
    794.99/1,097.15 = 440.94/x
  3. Step 3: Cross multiply
    794.99x = 1,097.15 × 440.94
  4. Step 4: Simplify right side
    794.99x = 483,780.88
  5. Step 5: Solve for x
    x = 483,780.88/794.99
  6. Step 6: Final answer
    x = 608.54

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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.