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Finding the Fourth Proportional to 812.21, 1,119.96 and 549.77

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Solution

The fourth proportional to 812.21, 1,119.96 and 549.77 is: 758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.21 : 1,119.96 = 549.77 : x
  2. Step 2: Convert to fraction form
    812.21/1,119.96 = 549.77/x
  3. Step 3: Cross multiply
    812.21x = 1,119.96 × 549.77
  4. Step 4: Simplify right side
    812.21x = 615,714.81
  5. Step 5: Solve for x
    x = 615,714.81/812.21
  6. Step 6: Final answer
    x = 758.08

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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.