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Finding the Fourth Proportional to 794.98, 1,097.09 and 436.10

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Solution

The fourth proportional to 794.98, 1,097.09 and 436.10 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.98 : 1,097.09 = 436.10 : x
  2. Step 2: Convert to fraction form
    794.98/1,097.09 = 436.10/x
  3. Step 3: Cross multiply
    794.98x = 1,097.09 × 436.10
  4. Step 4: Simplify right side
    794.98x = 478,443.25
  5. Step 5: Solve for x
    x = 478,443.25/794.98
  6. Step 6: Final answer
    x = 601.83

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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.