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Finding the Fourth Proportional to 666.52, 917.58 and 611.80

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Solution

The fourth proportional to 666.52, 917.58 and 611.80 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.52 : 917.58 = 611.80 : x
  2. Step 2: Convert to fraction form
    666.52/917.58 = 611.80/x
  3. Step 3: Cross multiply
    666.52x = 917.58 × 611.80
  4. Step 4: Simplify right side
    666.52x = 561,375.44
  5. Step 5: Solve for x
    x = 561,375.44/666.52
  6. Step 6: Final answer
    x = 842.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.