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Finding the Fourth Proportional to 657.62, 906.18 and 611.48

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Solution

The fourth proportional to 657.62, 906.18 and 611.48 is: 842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 906.18 = 611.48 : x
  2. Step 2: Convert to fraction form
    657.62/906.18 = 611.48/x
  3. Step 3: Cross multiply
    657.62x = 906.18 × 611.48
  4. Step 4: Simplify right side
    657.62x = 554,113.21
  5. Step 5: Solve for x
    x = 554,113.21/657.62
  6. Step 6: Final answer
    x = 842.61

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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.