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Finding the Fourth Proportional to 820.04, 1,230.20 and 409.46

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Solution

The fourth proportional to 820.04, 1,230.20 and 409.46 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.04 : 1,230.20 = 409.46 : x
  2. Step 2: Convert to fraction form
    820.04/1,230.20 = 409.46/x
  3. Step 3: Cross multiply
    820.04x = 1,230.20 × 409.46
  4. Step 4: Simplify right side
    820.04x = 503,715.64
  5. Step 5: Solve for x
    x = 503,715.64/820.04
  6. Step 6: Final answer
    x = 614.26

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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.