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Finding the Fourth Proportional to 836.54, 1,154.58 and 487.34

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Solution

The fourth proportional to 836.54, 1,154.58 and 487.34 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.54 : 1,154.58 = 487.34 : x
  2. Step 2: Convert to fraction form
    836.54/1,154.58 = 487.34/x
  3. Step 3: Cross multiply
    836.54x = 1,154.58 × 487.34
  4. Step 4: Simplify right side
    836.54x = 562,673.02
  5. Step 5: Solve for x
    x = 562,673.02/836.54
  6. Step 6: Final answer
    x = 672.62

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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.