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Finding the Fourth Proportional to 1,217, 1,678.90 and 867.88

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Solution

The fourth proportional to 1,217, 1,678.90 and 867.88 is: 1,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 1,678.90 = 867.88 : x
  2. Step 2: Convert to fraction form
    1,217/1,678.90 = 867.88/x
  3. Step 3: Cross multiply
    1,217x = 1,678.90 × 867.88
  4. Step 4: Simplify right side
    1,217x = 1,457,083.73
  5. Step 5: Solve for x
    x = 1,457,083.73/1,217
  6. Step 6: Final answer
    x = 1,197.28

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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.