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Finding the Fourth Proportional to 793.55, 1,094.82 and 514.14

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Solution

The fourth proportional to 793.55, 1,094.82 and 514.14 is: 709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.55 : 1,094.82 = 514.14 : x
  2. Step 2: Convert to fraction form
    793.55/1,094.82 = 514.14/x
  3. Step 3: Cross multiply
    793.55x = 1,094.82 × 514.14
  4. Step 4: Simplify right side
    793.55x = 562,890.75
  5. Step 5: Solve for x
    x = 562,890.75/793.55
  6. Step 6: Final answer
    x = 709.33

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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.