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Finding the Fourth Proportional to 818.21, 1,128.38 and 538.34

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Solution

The fourth proportional to 818.21, 1,128.38 and 538.34 is: 742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.21 : 1,128.38 = 538.34 : x
  2. Step 2: Convert to fraction form
    818.21/1,128.38 = 538.34/x
  3. Step 3: Cross multiply
    818.21x = 1,128.38 × 538.34
  4. Step 4: Simplify right side
    818.21x = 607,452.09
  5. Step 5: Solve for x
    x = 607,452.09/818.21
  6. Step 6: Final answer
    x = 742.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.