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Finding the Fourth Proportional to 853.82, 1,281.09 and 507.82

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Solution

The fourth proportional to 853.82, 1,281.09 and 507.82 is: 761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,281.09 = 507.82 : x
  2. Step 2: Convert to fraction form
    853.82/1,281.09 = 507.82/x
  3. Step 3: Cross multiply
    853.82x = 1,281.09 × 507.82
  4. Step 4: Simplify right side
    853.82x = 650,556.72
  5. Step 5: Solve for x
    x = 650,556.72/853.82
  6. Step 6: Final answer
    x = 761.94

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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.