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Finding the Fourth Proportional to 1,062.21, 1,593.64 and 514.42

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Solution

The fourth proportional to 1,062.21, 1,593.64 and 514.42 is: 771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.21 : 1,593.64 = 514.42 : x
  2. Step 2: Convert to fraction form
    1,062.21/1,593.64 = 514.42/x
  3. Step 3: Cross multiply
    1,062.21x = 1,593.64 × 514.42
  4. Step 4: Simplify right side
    1,062.21x = 819,796.95
  5. Step 5: Solve for x
    x = 819,796.95/1,062.21
  6. Step 6: Final answer
    x = 771.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.