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Finding the Fourth Proportional to 735.53, 1,103.59 and 324.38

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Solution

The fourth proportional to 735.53, 1,103.59 and 324.38 is: 486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.53 : 1,103.59 = 324.38 : x
  2. Step 2: Convert to fraction form
    735.53/1,103.59 = 324.38/x
  3. Step 3: Cross multiply
    735.53x = 1,103.59 × 324.38
  4. Step 4: Simplify right side
    735.53x = 357,982.52
  5. Step 5: Solve for x
    x = 357,982.52/735.53
  6. Step 6: Final answer
    x = 486.70

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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.