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Finding the Fourth Proportional to 617.29, 847.04 and 561.80

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Solution

The fourth proportional to 617.29, 847.04 and 561.80 is: 770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.29 : 847.04 = 561.80 : x
  2. Step 2: Convert to fraction form
    617.29/847.04 = 561.80/x
  3. Step 3: Cross multiply
    617.29x = 847.04 × 561.80
  4. Step 4: Simplify right side
    617.29x = 475,869.54
  5. Step 5: Solve for x
    x = 475,869.54/617.29
  6. Step 6: Final answer
    x = 770.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.