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Finding the Fourth Proportional to 757.84, 1,045.83 and 447.34

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Solution

The fourth proportional to 757.84, 1,045.83 and 447.34 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.84 : 1,045.83 = 447.34 : x
  2. Step 2: Convert to fraction form
    757.84/1,045.83 = 447.34/x
  3. Step 3: Cross multiply
    757.84x = 1,045.83 × 447.34
  4. Step 4: Simplify right side
    757.84x = 467,841.59
  5. Step 5: Solve for x
    x = 467,841.59/757.84
  6. Step 6: Final answer
    x = 617.34

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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.