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Finding the Fourth Proportional to 793.89, 1,096.14 and 514.29

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Solution

The fourth proportional to 793.89, 1,096.14 and 514.29 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.89 : 1,096.14 = 514.29 : x
  2. Step 2: Convert to fraction form
    793.89/1,096.14 = 514.29/x
  3. Step 3: Cross multiply
    793.89x = 1,096.14 × 514.29
  4. Step 4: Simplify right side
    793.89x = 563,733.84
  5. Step 5: Solve for x
    x = 563,733.84/793.89
  6. Step 6: Final answer
    x = 710.09

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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.