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Finding the Fourth Proportional to 754.49, 1,041.32 and 455.99

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Solution

The fourth proportional to 754.49, 1,041.32 and 455.99 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.49 : 1,041.32 = 455.99 : x
  2. Step 2: Convert to fraction form
    754.49/1,041.32 = 455.99/x
  3. Step 3: Cross multiply
    754.49x = 1,041.32 × 455.99
  4. Step 4: Simplify right side
    754.49x = 474,827.44
  5. Step 5: Solve for x
    x = 474,827.44/754.49
  6. Step 6: Final answer
    x = 629.33

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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.