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Finding the Fourth Proportional to 611.07, 844.20 and 557.61

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Solution

The fourth proportional to 611.07, 844.20 and 557.61 is: 770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.07 : 844.20 = 557.61 : x
  2. Step 2: Convert to fraction form
    611.07/844.20 = 557.61/x
  3. Step 3: Cross multiply
    611.07x = 844.20 × 557.61
  4. Step 4: Simplify right side
    611.07x = 470,734.36
  5. Step 5: Solve for x
    x = 470,734.36/611.07
  6. Step 6: Final answer
    x = 770.34

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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.