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Finding the Fourth Proportional to 1,112.15, 1,668.92 and 564.73

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Solution

The fourth proportional to 1,112.15, 1,668.92 and 564.73 is: 847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.15 : 1,668.92 = 564.73 : x
  2. Step 2: Convert to fraction form
    1,112.15/1,668.92 = 564.73/x
  3. Step 3: Cross multiply
    1,112.15x = 1,668.92 × 564.73
  4. Step 4: Simplify right side
    1,112.15x = 942,482.20
  5. Step 5: Solve for x
    x = 942,482.20/1,112.15
  6. Step 6: Final answer
    x = 847.44

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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.