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Finding the Fourth Proportional to 1,314.09, 1,971.27 and 735.75

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Solution

The fourth proportional to 1,314.09, 1,971.27 and 735.75 is: 1,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.09 : 1,971.27 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,314.09/1,971.27 = 735.75/x
  3. Step 3: Cross multiply
    1,314.09x = 1,971.27 × 735.75
  4. Step 4: Simplify right side
    1,314.09x = 1,450,361.90
  5. Step 5: Solve for x
    x = 1,450,361.90/1,314.09
  6. Step 6: Final answer
    x = 1,103.70

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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.