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Finding the Fourth Proportional to 654.06, 902.71 and 496.92

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Solution

The fourth proportional to 654.06, 902.71 and 496.92 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 902.71 = 496.92 : x
  2. Step 2: Convert to fraction form
    654.06/902.71 = 496.92/x
  3. Step 3: Cross multiply
    654.06x = 902.71 × 496.92
  4. Step 4: Simplify right side
    654.06x = 448,574.65
  5. Step 5: Solve for x
    x = 448,574.65/654.06
  6. Step 6: Final answer
    x = 685.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.