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Finding the Fourth Proportional to 681.72, 1,021.23 and 473.01

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Solution

The fourth proportional to 681.72, 1,021.23 and 473.01 is: 708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 1,021.23 = 473.01 : x
  2. Step 2: Convert to fraction form
    681.72/1,021.23 = 473.01/x
  3. Step 3: Cross multiply
    681.72x = 1,021.23 × 473.01
  4. Step 4: Simplify right side
    681.72x = 483,052.00
  5. Step 5: Solve for x
    x = 483,052.00/681.72
  6. Step 6: Final answer
    x = 708.58

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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.