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Finding the Fourth Proportional to 836.27, 1,154.30 and 574.23

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Solution

The fourth proportional to 836.27, 1,154.30 and 574.23 is: 792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,154.30 = 574.23 : x
  2. Step 2: Convert to fraction form
    836.27/1,154.30 = 574.23/x
  3. Step 3: Cross multiply
    836.27x = 1,154.30 × 574.23
  4. Step 4: Simplify right side
    836.27x = 662,830.82
  5. Step 5: Solve for x
    x = 662,830.82/836.27
  6. Step 6: Final answer
    x = 792.61

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