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Finding the Fourth Proportional to 762.02, 1,142.34 and 268.07

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Solution

The fourth proportional to 762.02, 1,142.34 and 268.07 is: 401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.02 : 1,142.34 = 268.07 : x
  2. Step 2: Convert to fraction form
    762.02/1,142.34 = 268.07/x
  3. Step 3: Cross multiply
    762.02x = 1,142.34 × 268.07
  4. Step 4: Simplify right side
    762.02x = 306,220.03
  5. Step 5: Solve for x
    x = 306,220.03/762.02
  6. Step 6: Final answer
    x = 401.86

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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.