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Finding the Fourth Proportional to 818.30, 1,129.24 and 538.94

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Solution

The fourth proportional to 818.30, 1,129.24 and 538.94 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.30 : 1,129.24 = 538.94 : x
  2. Step 2: Convert to fraction form
    818.30/1,129.24 = 538.94/x
  3. Step 3: Cross multiply
    818.30x = 1,129.24 × 538.94
  4. Step 4: Simplify right side
    818.30x = 608,585.61
  5. Step 5: Solve for x
    x = 608,585.61/818.30
  6. Step 6: Final answer
    x = 743.72

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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.