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Finding the Fourth Proportional to 681.48, 1,021.14 and 407.23

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Solution

The fourth proportional to 681.48, 1,021.14 and 407.23 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 1,021.14 = 407.23 : x
  2. Step 2: Convert to fraction form
    681.48/1,021.14 = 407.23/x
  3. Step 3: Cross multiply
    681.48x = 1,021.14 × 407.23
  4. Step 4: Simplify right side
    681.48x = 415,836.29
  5. Step 5: Solve for x
    x = 415,836.29/681.48
  6. Step 6: Final answer
    x = 610.20

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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.