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Finding the Fourth Proportional to 818.75, 1,228.64 and 741.87

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Solution

The fourth proportional to 818.75, 1,228.64 and 741.87 is: 1,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.75 : 1,228.64 = 741.87 : x
  2. Step 2: Convert to fraction form
    818.75/1,228.64 = 741.87/x
  3. Step 3: Cross multiply
    818.75x = 1,228.64 × 741.87
  4. Step 4: Simplify right side
    818.75x = 911,481.30
  5. Step 5: Solve for x
    x = 911,481.30/818.75
  6. Step 6: Final answer
    x = 1,113.27

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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.