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Finding the Fourth Proportional to 1,039.88, 1,563.32 and 733.93

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Solution

The fourth proportional to 1,039.88, 1,563.32 and 733.93 is: 1,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.88 : 1,563.32 = 733.93 : x
  2. Step 2: Convert to fraction form
    1,039.88/1,563.32 = 733.93/x
  3. Step 3: Cross multiply
    1,039.88x = 1,563.32 × 733.93
  4. Step 4: Simplify right side
    1,039.88x = 1,147,359.87
  5. Step 5: Solve for x
    x = 1,147,359.87/1,039.88
  6. Step 6: Final answer
    x = 1,103.36

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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.