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Finding the Fourth Proportional to 681.72, 1,022.13 and 357.32

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Solution

The fourth proportional to 681.72, 1,022.13 and 357.32 is: 535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 1,022.13 = 357.32 : x
  2. Step 2: Convert to fraction form
    681.72/1,022.13 = 357.32/x
  3. Step 3: Cross multiply
    681.72x = 1,022.13 × 357.32
  4. Step 4: Simplify right side
    681.72x = 365,222.38
  5. Step 5: Solve for x
    x = 365,222.38/681.72
  6. Step 6: Final answer
    x = 535.74

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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.