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Finding the Fourth Proportional to 828.04, 1,142.62 and 460.04

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Solution

The fourth proportional to 828.04, 1,142.62 and 460.04 is: 634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,142.62 = 460.04 : x
  2. Step 2: Convert to fraction form
    828.04/1,142.62 = 460.04/x
  3. Step 3: Cross multiply
    828.04x = 1,142.62 × 460.04
  4. Step 4: Simplify right side
    828.04x = 525,650.90
  5. Step 5: Solve for x
    x = 525,650.90/828.04
  6. Step 6: Final answer
    x = 634.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.