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Finding the Fourth Proportional to 681.04, 1,021.63 and 218.70

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Solution

The fourth proportional to 681.04, 1,021.63 and 218.70 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.04 : 1,021.63 = 218.70 : x
  2. Step 2: Convert to fraction form
    681.04/1,021.63 = 218.70/x
  3. Step 3: Cross multiply
    681.04x = 1,021.63 × 218.70
  4. Step 4: Simplify right side
    681.04x = 223,430.48
  5. Step 5: Solve for x
    x = 223,430.48/681.04
  6. Step 6: Final answer
    x = 328.07

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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.