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Finding the Fourth Proportional to 728.25, 1,091.84 and 468.54

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Solution

The fourth proportional to 728.25, 1,091.84 and 468.54 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,091.84 = 468.54 : x
  2. Step 2: Convert to fraction form
    728.25/1,091.84 = 468.54/x
  3. Step 3: Cross multiply
    728.25x = 1,091.84 × 468.54
  4. Step 4: Simplify right side
    728.25x = 511,568.37
  5. Step 5: Solve for x
    x = 511,568.37/728.25
  6. Step 6: Final answer
    x = 702.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.