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Finding the Fourth Proportional to 754.56, 1,041.12 and 459.81

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Solution

The fourth proportional to 754.56, 1,041.12 and 459.81 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,041.12 = 459.81 : x
  2. Step 2: Convert to fraction form
    754.56/1,041.12 = 459.81/x
  3. Step 3: Cross multiply
    754.56x = 1,041.12 × 459.81
  4. Step 4: Simplify right side
    754.56x = 478,717.39
  5. Step 5: Solve for x
    x = 478,717.39/754.56
  6. Step 6: Final answer
    x = 634.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.