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Finding the Fourth Proportional to 735.86, 1,103.57 and 529.80

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Solution

The fourth proportional to 735.86, 1,103.57 and 529.80 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.86 : 1,103.57 = 529.80 : x
  2. Step 2: Convert to fraction form
    735.86/1,103.57 = 529.80/x
  3. Step 3: Cross multiply
    735.86x = 1,103.57 × 529.80
  4. Step 4: Simplify right side
    735.86x = 584,668.74
  5. Step 5: Solve for x
    x = 584,668.74/735.86
  6. Step 6: Final answer
    x = 794.54

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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.