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Finding the Fourth Proportional to 735.14, 1,102.61 and 324.07

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Solution

The fourth proportional to 735.14, 1,102.61 and 324.07 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,102.61 = 324.07 : x
  2. Step 2: Convert to fraction form
    735.14/1,102.61 = 324.07/x
  3. Step 3: Cross multiply
    735.14x = 1,102.61 × 324.07
  4. Step 4: Simplify right side
    735.14x = 357,320.88
  5. Step 5: Solve for x
    x = 357,320.88/735.14
  6. Step 6: Final answer
    x = 486.06

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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.