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Finding the Fourth Proportional to 611.80, 826.65 and 611.80

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Solution

The fourth proportional to 611.80, 826.65 and 611.80 is: 826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.80 : 826.65 = 611.80 : x
  2. Step 2: Convert to fraction form
    611.80/826.65 = 611.80/x
  3. Step 3: Cross multiply
    611.80x = 826.65 × 611.80
  4. Step 4: Simplify right side
    611.80x = 505,744.47
  5. Step 5: Solve for x
    x = 505,744.47/611.80
  6. Step 6: Final answer
    x = 826.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.