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Finding the Fourth Proportional to 735.66, 1,102.41 and 573.66

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Solution

The fourth proportional to 735.66, 1,102.41 and 573.66 is: 859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,102.41 = 573.66 : x
  2. Step 2: Convert to fraction form
    735.66/1,102.41 = 573.66/x
  3. Step 3: Cross multiply
    735.66x = 1,102.41 × 573.66
  4. Step 4: Simplify right side
    735.66x = 632,408.52
  5. Step 5: Solve for x
    x = 632,408.52/735.66
  6. Step 6: Final answer
    x = 859.65

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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.