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Finding the Fourth Proportional to 828.35, 1,143.27 and 479.03

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Solution

The fourth proportional to 828.35, 1,143.27 and 479.03 is: 661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.35 : 1,143.27 = 479.03 : x
  2. Step 2: Convert to fraction form
    828.35/1,143.27 = 479.03/x
  3. Step 3: Cross multiply
    828.35x = 1,143.27 × 479.03
  4. Step 4: Simplify right side
    828.35x = 547,662.29
  5. Step 5: Solve for x
    x = 547,662.29/828.35
  6. Step 6: Final answer
    x = 661.15

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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.