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Finding the Fourth Proportional to 1,118.55, 1,678.43 and 541.42

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Solution

The fourth proportional to 1,118.55, 1,678.43 and 541.42 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.55 : 1,678.43 = 541.42 : x
  2. Step 2: Convert to fraction form
    1,118.55/1,678.43 = 541.42/x
  3. Step 3: Cross multiply
    1,118.55x = 1,678.43 × 541.42
  4. Step 4: Simplify right side
    1,118.55x = 908,735.57
  5. Step 5: Solve for x
    x = 908,735.57/1,118.55
  6. Step 6: Final answer
    x = 812.42

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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.