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Finding the Fourth Proportional to 821.96, 1,233.06 and 411.32

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Solution

The fourth proportional to 821.96, 1,233.06 and 411.32 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,233.06 = 411.32 : x
  2. Step 2: Convert to fraction form
    821.96/1,233.06 = 411.32/x
  3. Step 3: Cross multiply
    821.96x = 1,233.06 × 411.32
  4. Step 4: Simplify right side
    821.96x = 507,182.24
  5. Step 5: Solve for x
    x = 507,182.24/821.96
  6. Step 6: Final answer
    x = 617.04

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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.