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Finding the Fourth Proportional to 681.82, 1,020.74 and 421.02

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Solution

The fourth proportional to 681.82, 1,020.74 and 421.02 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 1,020.74 = 421.02 : x
  2. Step 2: Convert to fraction form
    681.82/1,020.74 = 421.02/x
  3. Step 3: Cross multiply
    681.82x = 1,020.74 × 421.02
  4. Step 4: Simplify right side
    681.82x = 429,751.95
  5. Step 5: Solve for x
    x = 429,751.95/681.82
  6. Step 6: Final answer
    x = 630.30

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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.