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Finding the Fourth Proportional to 752.14, 1,127.67 and 341.07

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Solution

The fourth proportional to 752.14, 1,127.67 and 341.07 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.14 : 1,127.67 = 341.07 : x
  2. Step 2: Convert to fraction form
    752.14/1,127.67 = 341.07/x
  3. Step 3: Cross multiply
    752.14x = 1,127.67 × 341.07
  4. Step 4: Simplify right side
    752.14x = 384,614.41
  5. Step 5: Solve for x
    x = 384,614.41/752.14
  6. Step 6: Final answer
    x = 511.36

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