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Finding the Fourth Proportional to 1,219.12, 1,828.79 and 735.25

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Solution

The fourth proportional to 1,219.12, 1,828.79 and 735.25 is: 1,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.12 : 1,828.79 = 735.25 : x
  2. Step 2: Convert to fraction form
    1,219.12/1,828.79 = 735.25/x
  3. Step 3: Cross multiply
    1,219.12x = 1,828.79 × 735.25
  4. Step 4: Simplify right side
    1,219.12x = 1,344,617.85
  5. Step 5: Solve for x
    x = 1,344,617.85/1,219.12
  6. Step 6: Final answer
    x = 1,102.94

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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.