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Finding the Fourth Proportional to 818.23, 1,129.52 and 538.61

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Solution

The fourth proportional to 818.23, 1,129.52 and 538.61 is: 743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.23 : 1,129.52 = 538.61 : x
  2. Step 2: Convert to fraction form
    818.23/1,129.52 = 538.61/x
  3. Step 3: Cross multiply
    818.23x = 1,129.52 × 538.61
  4. Step 4: Simplify right side
    818.23x = 608,370.70
  5. Step 5: Solve for x
    x = 608,370.70/818.23
  6. Step 6: Final answer
    x = 743.52

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1.5x scale

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.