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Finding the Fourth Proportional to 836.44, 1,154.33 and 487.11

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Solution

The fourth proportional to 836.44, 1,154.33 and 487.11 is: 672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.44 : 1,154.33 = 487.11 : x
  2. Step 2: Convert to fraction form
    836.44/1,154.33 = 487.11/x
  3. Step 3: Cross multiply
    836.44x = 1,154.33 × 487.11
  4. Step 4: Simplify right side
    836.44x = 562,285.69
  5. Step 5: Solve for x
    x = 562,285.69/836.44
  6. Step 6: Final answer
    x = 672.24

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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.