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Finding the Fourth Proportional to 969.91, 1,452.30 and 814.66

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Solution

The fourth proportional to 969.91, 1,452.30 and 814.66 is: 1,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.91 : 1,452.30 = 814.66 : x
  2. Step 2: Convert to fraction form
    969.91/1,452.30 = 814.66/x
  3. Step 3: Cross multiply
    969.91x = 1,452.30 × 814.66
  4. Step 4: Simplify right side
    969.91x = 1,183,130.72
  5. Step 5: Solve for x
    x = 1,183,130.72/969.91
  6. Step 6: Final answer
    x = 1,219.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.