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Finding the Fourth Proportional to 1,112.68, 1,665.91 and 563.68

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Solution

The fourth proportional to 1,112.68, 1,665.91 and 563.68 is: 843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.68 : 1,665.91 = 563.68 : x
  2. Step 2: Convert to fraction form
    1,112.68/1,665.91 = 563.68/x
  3. Step 3: Cross multiply
    1,112.68x = 1,665.91 × 563.68
  4. Step 4: Simplify right side
    1,112.68x = 939,040.15
  5. Step 5: Solve for x
    x = 939,040.15/1,112.68
  6. Step 6: Final answer
    x = 843.94

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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.