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Finding the Fourth Proportional to 748.26, 1,032.63 and 416.69

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Solution

The fourth proportional to 748.26, 1,032.63 and 416.69 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.26 : 1,032.63 = 416.69 : x
  2. Step 2: Convert to fraction form
    748.26/1,032.63 = 416.69/x
  3. Step 3: Cross multiply
    748.26x = 1,032.63 × 416.69
  4. Step 4: Simplify right side
    748.26x = 430,286.59
  5. Step 5: Solve for x
    x = 430,286.59/748.26
  6. Step 6: Final answer
    x = 575.05

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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.