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Finding the Fourth Proportional to 828.92, 1,142.64 and 653.96

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Solution

The fourth proportional to 828.92, 1,142.64 and 653.96 is: 901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,142.64 = 653.96 : x
  2. Step 2: Convert to fraction form
    828.92/1,142.64 = 653.96/x
  3. Step 3: Cross multiply
    828.92x = 1,142.64 × 653.96
  4. Step 4: Simplify right side
    828.92x = 747,240.85
  5. Step 5: Solve for x
    x = 747,240.85/828.92
  6. Step 6: Final answer
    x = 901.46

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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.