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Finding the Fourth Proportional to 762.12, 1,142.16 and 350.82

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Solution

The fourth proportional to 762.12, 1,142.16 and 350.82 is: 525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.12 : 1,142.16 = 350.82 : x
  2. Step 2: Convert to fraction form
    762.12/1,142.16 = 350.82/x
  3. Step 3: Cross multiply
    762.12x = 1,142.16 × 350.82
  4. Step 4: Simplify right side
    762.12x = 400,692.57
  5. Step 5: Solve for x
    x = 400,692.57/762.12
  6. Step 6: Final answer
    x = 525.76

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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.