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Finding the Fourth Proportional to 757.11, 1,044.59 and 477.39

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Solution

The fourth proportional to 757.11, 1,044.59 and 477.39 is: 658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,044.59 = 477.39 : x
  2. Step 2: Convert to fraction form
    757.11/1,044.59 = 477.39/x
  3. Step 3: Cross multiply
    757.11x = 1,044.59 × 477.39
  4. Step 4: Simplify right side
    757.11x = 498,674.43
  5. Step 5: Solve for x
    x = 498,674.43/757.11
  6. Step 6: Final answer
    x = 658.66

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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.