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Finding the Fourth Proportional to 1,207.12, 1,665.75 and 675.94

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Solution

The fourth proportional to 1,207.12, 1,665.75 and 675.94 is: 932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.12 : 1,665.75 = 675.94 : x
  2. Step 2: Convert to fraction form
    1,207.12/1,665.75 = 675.94/x
  3. Step 3: Cross multiply
    1,207.12x = 1,665.75 × 675.94
  4. Step 4: Simplify right side
    1,207.12x = 1,125,947.06
  5. Step 5: Solve for x
    x = 1,125,947.06/1,207.12
  6. Step 6: Final answer
    x = 932.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.