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Finding the Fourth Proportional to 863.56, 1,191.60 and 553

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Solution

The fourth proportional to 863.56, 1,191.60 and 553 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.56 : 1,191.60 = 553 : x
  2. Step 2: Convert to fraction form
    863.56/1,191.60 = 553/x
  3. Step 3: Cross multiply
    863.56x = 1,191.60 × 553
  4. Step 4: Simplify right side
    863.56x = 658,954.80
  5. Step 5: Solve for x
    x = 658,954.80/863.56
  6. Step 6: Final answer
    x = 763.07

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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.