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Finding the Fourth Proportional to 1,112.25, 1,668.65 and 342.75

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Solution

The fourth proportional to 1,112.25, 1,668.65 and 342.75 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.25 : 1,668.65 = 342.75 : x
  2. Step 2: Convert to fraction form
    1,112.25/1,668.65 = 342.75/x
  3. Step 3: Cross multiply
    1,112.25x = 1,668.65 × 342.75
  4. Step 4: Simplify right side
    1,112.25x = 571,928.07
  5. Step 5: Solve for x
    x = 571,928.07/1,112.25
  6. Step 6: Final answer
    x = 514.21

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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.