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Finding the Fourth Proportional to 735.55, 1,102.78 and 324.55

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Solution

The fourth proportional to 735.55, 1,102.78 and 324.55 is: 486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.55 : 1,102.78 = 324.55 : x
  2. Step 2: Convert to fraction form
    735.55/1,102.78 = 324.55/x
  3. Step 3: Cross multiply
    735.55x = 1,102.78 × 324.55
  4. Step 4: Simplify right side
    735.55x = 357,907.25
  5. Step 5: Solve for x
    x = 357,907.25/735.55
  6. Step 6: Final answer
    x = 486.58

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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.