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Finding the Fourth Proportional to 1,283.67, 1,926.08 and 625.18

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Solution

The fourth proportional to 1,283.67, 1,926.08 and 625.18 is: 938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.67 : 1,926.08 = 625.18 : x
  2. Step 2: Convert to fraction form
    1,283.67/1,926.08 = 625.18/x
  3. Step 3: Cross multiply
    1,283.67x = 1,926.08 × 625.18
  4. Step 4: Simplify right side
    1,283.67x = 1,204,148.26
  5. Step 5: Solve for x
    x = 1,204,148.26/1,283.67
  6. Step 6: Final answer
    x = 938.05

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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.