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Finding the Fourth Proportional to 735.16, 1,102.74 and 272.94

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Solution

The fourth proportional to 735.16, 1,102.74 and 272.94 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,102.74 = 272.94 : x
  2. Step 2: Convert to fraction form
    735.16/1,102.74 = 272.94/x
  3. Step 3: Cross multiply
    735.16x = 1,102.74 × 272.94
  4. Step 4: Simplify right side
    735.16x = 300,974.98
  5. Step 5: Solve for x
    x = 300,974.98/735.16
  6. Step 6: Final answer
    x = 409.40

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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.