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Finding the Fourth Proportional to 1,097.99, 1,648.12 and 735.31

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Solution

The fourth proportional to 1,097.99, 1,648.12 and 735.31 is: 1,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.99 : 1,648.12 = 735.31 : x
  2. Step 2: Convert to fraction form
    1,097.99/1,648.12 = 735.31/x
  3. Step 3: Cross multiply
    1,097.99x = 1,648.12 × 735.31
  4. Step 4: Simplify right side
    1,097.99x = 1,211,879.12
  5. Step 5: Solve for x
    x = 1,211,879.12/1,097.99
  6. Step 6: Final answer
    x = 1,103.73

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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.