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Finding the Fourth Proportional to 754.35, 1,041.09 and 459.63

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Solution

The fourth proportional to 754.35, 1,041.09 and 459.63 is: 634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.35 : 1,041.09 = 459.63 : x
  2. Step 2: Convert to fraction form
    754.35/1,041.09 = 459.63/x
  3. Step 3: Cross multiply
    754.35x = 1,041.09 × 459.63
  4. Step 4: Simplify right side
    754.35x = 478,516.20
  5. Step 5: Solve for x
    x = 478,516.20/754.35
  6. Step 6: Final answer
    x = 634.34

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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.