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Finding the Fourth Proportional to 794.21, 1,095.80 and 514.49

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Solution

The fourth proportional to 794.21, 1,095.80 and 514.49 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.21 : 1,095.80 = 514.49 : x
  2. Step 2: Convert to fraction form
    794.21/1,095.80 = 514.49/x
  3. Step 3: Cross multiply
    794.21x = 1,095.80 × 514.49
  4. Step 4: Simplify right side
    794.21x = 563,770.09
  5. Step 5: Solve for x
    x = 563,770.09/794.21
  6. Step 6: Final answer
    x = 709.85

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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.