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Finding the Fourth Proportional to 820.13, 1,230.59 and 409.29

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Solution

The fourth proportional to 820.13, 1,230.59 and 409.29 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,230.59 = 409.29 : x
  2. Step 2: Convert to fraction form
    820.13/1,230.59 = 409.29/x
  3. Step 3: Cross multiply
    820.13x = 1,230.59 × 409.29
  4. Step 4: Simplify right side
    820.13x = 503,664.59
  5. Step 5: Solve for x
    x = 503,664.59/820.13
  6. Step 6: Final answer
    x = 614.13

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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.