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Finding the Fourth Proportional to 681.68, 1,021.73 and 564.82

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Solution

The fourth proportional to 681.68, 1,021.73 and 564.82 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.68 : 1,021.73 = 564.82 : x
  2. Step 2: Convert to fraction form
    681.68/1,021.73 = 564.82/x
  3. Step 3: Cross multiply
    681.68x = 1,021.73 × 564.82
  4. Step 4: Simplify right side
    681.68x = 577,088.16
  5. Step 5: Solve for x
    x = 577,088.16/681.68
  6. Step 6: Final answer
    x = 846.56

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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.