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Finding the Fourth Proportional to 681.56, 935.23 and 619.19

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Solution

The fourth proportional to 681.56, 935.23 and 619.19 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 935.23 = 619.19 : x
  2. Step 2: Convert to fraction form
    681.56/935.23 = 619.19/x
  3. Step 3: Cross multiply
    681.56x = 935.23 × 619.19
  4. Step 4: Simplify right side
    681.56x = 579,085.06
  5. Step 5: Solve for x
    x = 579,085.06/681.56
  6. Step 6: Final answer
    x = 849.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.