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Finding the Fourth Proportional to 681.70, 935.04 and 642.01

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Solution

The fourth proportional to 681.70, 935.04 and 642.01 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.70 : 935.04 = 642.01 : x
  2. Step 2: Convert to fraction form
    681.70/935.04 = 642.01/x
  3. Step 3: Cross multiply
    681.70x = 935.04 × 642.01
  4. Step 4: Simplify right side
    681.70x = 600,305.03
  5. Step 5: Solve for x
    x = 600,305.03/681.70
  6. Step 6: Final answer
    x = 880.60

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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.