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Finding the Fourth Proportional to 617.55, 926.78 and 612.96

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Solution

The fourth proportional to 617.55, 926.78 and 612.96 is: 919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 926.78 = 612.96 : x
  2. Step 2: Convert to fraction form
    617.55/926.78 = 612.96/x
  3. Step 3: Cross multiply
    617.55x = 926.78 × 612.96
  4. Step 4: Simplify right side
    617.55x = 568,076.00
  5. Step 5: Solve for x
    x = 568,076.00/617.55
  6. Step 6: Final answer
    x = 919.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.