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Finding the Fourth Proportional to 681.63, 1,022.64 and 316.45

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Solution

The fourth proportional to 681.63, 1,022.64 and 316.45 is: 474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.63 : 1,022.64 = 316.45 : x
  2. Step 2: Convert to fraction form
    681.63/1,022.64 = 316.45/x
  3. Step 3: Cross multiply
    681.63x = 1,022.64 × 316.45
  4. Step 4: Simplify right side
    681.63x = 323,614.43
  5. Step 5: Solve for x
    x = 323,614.43/681.63
  6. Step 6: Final answer
    x = 474.77

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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.