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Finding the Fourth Proportional to 810.96, 1,213.80 and 735.18

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Solution

The fourth proportional to 810.96, 1,213.80 and 735.18 is: 1,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.96 : 1,213.80 = 735.18 : x
  2. Step 2: Convert to fraction form
    810.96/1,213.80 = 735.18/x
  3. Step 3: Cross multiply
    810.96x = 1,213.80 × 735.18
  4. Step 4: Simplify right side
    810.96x = 892,361.48
  5. Step 5: Solve for x
    x = 892,361.48/810.96
  6. Step 6: Final answer
    x = 1,100.38

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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.