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Finding the Fourth Proportional to 1,103.99, 1,655.61 and 445.69

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Solution

The fourth proportional to 1,103.99, 1,655.61 and 445.69 is: 668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.99 : 1,655.61 = 445.69 : x
  2. Step 2: Convert to fraction form
    1,103.99/1,655.61 = 445.69/x
  3. Step 3: Cross multiply
    1,103.99x = 1,655.61 × 445.69
  4. Step 4: Simplify right side
    1,103.99x = 737,888.82
  5. Step 5: Solve for x
    x = 737,888.82/1,103.99
  6. Step 6: Final answer
    x = 668.39

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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.