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Finding the Fourth Proportional to 735.33, 1,104.48 and 574.02

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Solution

The fourth proportional to 735.33, 1,104.48 and 574.02 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.33 : 1,104.48 = 574.02 : x
  2. Step 2: Convert to fraction form
    735.33/1,104.48 = 574.02/x
  3. Step 3: Cross multiply
    735.33x = 1,104.48 × 574.02
  4. Step 4: Simplify right side
    735.33x = 633,993.61
  5. Step 5: Solve for x
    x = 633,993.61/735.33
  6. Step 6: Final answer
    x = 862.19

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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.