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Finding the Fourth Proportional to 754.13, 1,130.90 and 343.46

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Solution

The fourth proportional to 754.13, 1,130.90 and 343.46 is: 515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.13 : 1,130.90 = 343.46 : x
  2. Step 2: Convert to fraction form
    754.13/1,130.90 = 343.46/x
  3. Step 3: Cross multiply
    754.13x = 1,130.90 × 343.46
  4. Step 4: Simplify right side
    754.13x = 388,420.02
  5. Step 5: Solve for x
    x = 388,420.02/754.13
  6. Step 6: Final answer
    x = 515.06

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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.