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Finding the Fourth Proportional to 828.24, 1,142.56 and 606.72

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Solution

The fourth proportional to 828.24, 1,142.56 and 606.72 is: 836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,142.56 = 606.72 : x
  2. Step 2: Convert to fraction form
    828.24/1,142.56 = 606.72/x
  3. Step 3: Cross multiply
    828.24x = 1,142.56 × 606.72
  4. Step 4: Simplify right side
    828.24x = 693,214.00
  5. Step 5: Solve for x
    x = 693,214.00/828.24
  6. Step 6: Final answer
    x = 836.97

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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.