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Finding the Fourth Proportional to 1,112.27, 1,666.64 and 563.69

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Solution

The fourth proportional to 1,112.27, 1,666.64 and 563.69 is: 844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,666.64 = 563.69 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,666.64 = 563.69/x
  3. Step 3: Cross multiply
    1,112.27x = 1,666.64 × 563.69
  4. Step 4: Simplify right side
    1,112.27x = 939,473.88
  5. Step 5: Solve for x
    x = 939,473.88/1,112.27
  6. Step 6: Final answer
    x = 844.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.