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Finding the Fourth Proportional to 818.21, 1,129.37 and 538.67

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Solution

The fourth proportional to 818.21, 1,129.37 and 538.67 is: 743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.21 : 1,129.37 = 538.67 : x
  2. Step 2: Convert to fraction form
    818.21/1,129.37 = 538.67/x
  3. Step 3: Cross multiply
    818.21x = 1,129.37 × 538.67
  4. Step 4: Simplify right side
    818.21x = 608,349.40
  5. Step 5: Solve for x
    x = 608,349.40/818.21
  6. Step 6: Final answer
    x = 743.52

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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.