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Finding the Fourth Proportional to 823.35, 1,235.61 and 549.96

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Solution

The fourth proportional to 823.35, 1,235.61 and 549.96 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.35 : 1,235.61 = 549.96 : x
  2. Step 2: Convert to fraction form
    823.35/1,235.61 = 549.96/x
  3. Step 3: Cross multiply
    823.35x = 1,235.61 × 549.96
  4. Step 4: Simplify right side
    823.35x = 679,536.08
  5. Step 5: Solve for x
    x = 679,536.08/823.35
  6. Step 6: Final answer
    x = 825.33

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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.