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Finding the Fourth Proportional to 748.61, 1,033.75 and 469.33

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Solution

The fourth proportional to 748.61, 1,033.75 and 469.33 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.61 : 1,033.75 = 469.33 : x
  2. Step 2: Convert to fraction form
    748.61/1,033.75 = 469.33/x
  3. Step 3: Cross multiply
    748.61x = 1,033.75 × 469.33
  4. Step 4: Simplify right side
    748.61x = 485,171.06
  5. Step 5: Solve for x
    x = 485,171.06/748.61
  6. Step 6: Final answer
    x = 648.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.