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Finding the Fourth Proportional to 681.06, 1,021.47 and 566.24

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Solution

The fourth proportional to 681.06, 1,021.47 and 566.24 is: 849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.06 : 1,021.47 = 566.24 : x
  2. Step 2: Convert to fraction form
    681.06/1,021.47 = 566.24/x
  3. Step 3: Cross multiply
    681.06x = 1,021.47 × 566.24
  4. Step 4: Simplify right side
    681.06x = 578,392.07
  5. Step 5: Solve for x
    x = 578,392.07/681.06
  6. Step 6: Final answer
    x = 849.25

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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.