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Finding the Fourth Proportional to 681.48, 1,022.32 and 219.14

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Solution

The fourth proportional to 681.48, 1,022.32 and 219.14 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 1,022.32 = 219.14 : x
  2. Step 2: Convert to fraction form
    681.48/1,022.32 = 219.14/x
  3. Step 3: Cross multiply
    681.48x = 1,022.32 × 219.14
  4. Step 4: Simplify right side
    681.48x = 224,030.20
  5. Step 5: Solve for x
    x = 224,030.20/681.48
  6. Step 6: Final answer
    x = 328.74

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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.