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Finding the Fourth Proportional to 828.96, 1,244.46 and 464.04

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Solution

The fourth proportional to 828.96, 1,244.46 and 464.04 is: 696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.96 : 1,244.46 = 464.04 : x
  2. Step 2: Convert to fraction form
    828.96/1,244.46 = 464.04/x
  3. Step 3: Cross multiply
    828.96x = 1,244.46 × 464.04
  4. Step 4: Simplify right side
    828.96x = 577,479.22
  5. Step 5: Solve for x
    x = 577,479.22/828.96
  6. Step 6: Final answer
    x = 696.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.