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Finding the Fourth Proportional to 611.39, 842.60 and 500.51

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Solution

The fourth proportional to 611.39, 842.60 and 500.51 is: 689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.39 : 842.60 = 500.51 : x
  2. Step 2: Convert to fraction form
    611.39/842.60 = 500.51/x
  3. Step 3: Cross multiply
    611.39x = 842.60 × 500.51
  4. Step 4: Simplify right side
    611.39x = 421,726.76
  5. Step 5: Solve for x
    x = 421,726.76/611.39
  6. Step 6: Final answer
    x = 689.79

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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.