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Finding the Fourth Proportional to 758.44, 1,046.66 and 459.71

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Solution

The fourth proportional to 758.44, 1,046.66 and 459.71 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.44 : 1,046.66 = 459.71 : x
  2. Step 2: Convert to fraction form
    758.44/1,046.66 = 459.71/x
  3. Step 3: Cross multiply
    758.44x = 1,046.66 × 459.71
  4. Step 4: Simplify right side
    758.44x = 481,160.07
  5. Step 5: Solve for x
    x = 481,160.07/758.44
  6. Step 6: Final answer
    x = 634.41

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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.