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Finding the Fourth Proportional to 820.46, 1,133.34 and 762.14

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Solution

The fourth proportional to 820.46, 1,133.34 and 762.14 is: 1,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.46 : 1,133.34 = 762.14 : x
  2. Step 2: Convert to fraction form
    820.46/1,133.34 = 762.14/x
  3. Step 3: Cross multiply
    820.46x = 1,133.34 × 762.14
  4. Step 4: Simplify right side
    820.46x = 863,763.75
  5. Step 5: Solve for x
    x = 863,763.75/820.46
  6. Step 6: Final answer
    x = 1,052.78

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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.