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Finding the Fourth Proportional to 820.48, 1,230.84 and 474

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Solution

The fourth proportional to 820.48, 1,230.84 and 474 is: 711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.48 : 1,230.84 = 474 : x
  2. Step 2: Convert to fraction form
    820.48/1,230.84 = 474/x
  3. Step 3: Cross multiply
    820.48x = 1,230.84 × 474
  4. Step 4: Simplify right side
    820.48x = 583,418.16
  5. Step 5: Solve for x
    x = 583,418.16/820.48
  6. Step 6: Final answer
    x = 711.07

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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.