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Finding the Fourth Proportional to 1,112.27, 1,668.65 and 332.31

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Solution

The fourth proportional to 1,112.27, 1,668.65 and 332.31 is: 498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.27 : 1,668.65 = 332.31 : x
  2. Step 2: Convert to fraction form
    1,112.27/1,668.65 = 332.31/x
  3. Step 3: Cross multiply
    1,112.27x = 1,668.65 × 332.31
  4. Step 4: Simplify right side
    1,112.27x = 554,507.42
  5. Step 5: Solve for x
    x = 554,507.42/1,112.27
  6. Step 6: Final answer
    x = 498.54

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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.