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Finding the Fourth Proportional to 1,112.33, 1,668.40 and 290.59

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Solution

The fourth proportional to 1,112.33, 1,668.40 and 290.59 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.33 : 1,668.40 = 290.59 : x
  2. Step 2: Convert to fraction form
    1,112.33/1,668.40 = 290.59/x
  3. Step 3: Cross multiply
    1,112.33x = 1,668.40 × 290.59
  4. Step 4: Simplify right side
    1,112.33x = 484,815.46
  5. Step 5: Solve for x
    x = 484,815.46/1,112.33
  6. Step 6: Final answer
    x = 435.85

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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.