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Finding the Fourth Proportional to 762.26, 1,142.35 and 396.30

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Solution

The fourth proportional to 762.26, 1,142.35 and 396.30 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.26 : 1,142.35 = 396.30 : x
  2. Step 2: Convert to fraction form
    762.26/1,142.35 = 396.30/x
  3. Step 3: Cross multiply
    762.26x = 1,142.35 × 396.30
  4. Step 4: Simplify right side
    762.26x = 452,712.31
  5. Step 5: Solve for x
    x = 452,712.31/762.26
  6. Step 6: Final answer
    x = 593.91

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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.