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Finding the Fourth Proportional to 1,146.30, 1,578.97 and 969.06

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Solution

The fourth proportional to 1,146.30, 1,578.97 and 969.06 is: 1,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.30 : 1,578.97 = 969.06 : x
  2. Step 2: Convert to fraction form
    1,146.30/1,578.97 = 969.06/x
  3. Step 3: Cross multiply
    1,146.30x = 1,578.97 × 969.06
  4. Step 4: Simplify right side
    1,146.30x = 1,530,116.67
  5. Step 5: Solve for x
    x = 1,530,116.67/1,146.30
  6. Step 6: Final answer
    x = 1,334.83

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Why These Related Problems?

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