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Finding the Fourth Proportional to 748.84, 1,032.06 and 574.60

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Solution

The fourth proportional to 748.84, 1,032.06 and 574.60 is: 791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.84 : 1,032.06 = 574.60 : x
  2. Step 2: Convert to fraction form
    748.84/1,032.06 = 574.60/x
  3. Step 3: Cross multiply
    748.84x = 1,032.06 × 574.60
  4. Step 4: Simplify right side
    748.84x = 593,021.68
  5. Step 5: Solve for x
    x = 593,021.68/748.84
  6. Step 6: Final answer
    x = 791.92

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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.