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Finding the Fourth Proportional to 821.22, 1,230.84 and 410.46

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Solution

The fourth proportional to 821.22, 1,230.84 and 410.46 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,230.84 = 410.46 : x
  2. Step 2: Convert to fraction form
    821.22/1,230.84 = 410.46/x
  3. Step 3: Cross multiply
    821.22x = 1,230.84 × 410.46
  4. Step 4: Simplify right side
    821.22x = 505,210.59
  5. Step 5: Solve for x
    x = 505,210.59/821.22
  6. Step 6: Final answer
    x = 615.20

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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.