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Finding the Fourth Proportional to 820.16, 1,230.80 and 435.68

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Solution

The fourth proportional to 820.16, 1,230.80 and 435.68 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.16 : 1,230.80 = 435.68 : x
  2. Step 2: Convert to fraction form
    820.16/1,230.80 = 435.68/x
  3. Step 3: Cross multiply
    820.16x = 1,230.80 × 435.68
  4. Step 4: Simplify right side
    820.16x = 536,234.94
  5. Step 5: Solve for x
    x = 536,234.94/820.16
  6. Step 6: Final answer
    x = 653.82

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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.