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Finding the Fourth Proportional to 1,112.73, 1,668.96 and 565.31

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Solution

The fourth proportional to 1,112.73, 1,668.96 and 565.31 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.73 : 1,668.96 = 565.31 : x
  2. Step 2: Convert to fraction form
    1,112.73/1,668.96 = 565.31/x
  3. Step 3: Cross multiply
    1,112.73x = 1,668.96 × 565.31
  4. Step 4: Simplify right side
    1,112.73x = 943,471.43
  5. Step 5: Solve for x
    x = 943,471.43/1,112.73
  6. Step 6: Final answer
    x = 847.89

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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.