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Finding the Fourth Proportional to 1,292.33, 1,936.35 and 675.11

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Solution

The fourth proportional to 1,292.33, 1,936.35 and 675.11 is: 1,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.33 : 1,936.35 = 675.11 : x
  2. Step 2: Convert to fraction form
    1,292.33/1,936.35 = 675.11/x
  3. Step 3: Cross multiply
    1,292.33x = 1,936.35 × 675.11
  4. Step 4: Simplify right side
    1,292.33x = 1,307,239.57
  5. Step 5: Solve for x
    x = 1,307,239.57/1,292.33
  6. Step 6: Final answer
    x = 1,011.54

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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.