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Finding the Fourth Proportional to 762.20, 1,142.96 and 275.26

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Solution

The fourth proportional to 762.20, 1,142.96 and 275.26 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.20 : 1,142.96 = 275.26 : x
  2. Step 2: Convert to fraction form
    762.20/1,142.96 = 275.26/x
  3. Step 3: Cross multiply
    762.20x = 1,142.96 × 275.26
  4. Step 4: Simplify right side
    762.20x = 314,611.17
  5. Step 5: Solve for x
    x = 314,611.17/762.20
  6. Step 6: Final answer
    x = 412.77

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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.