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Finding the Fourth Proportional to 820.34, 1,228.90 and 541.84

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Solution

The fourth proportional to 820.34, 1,228.90 and 541.84 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.34 : 1,228.90 = 541.84 : x
  2. Step 2: Convert to fraction form
    820.34/1,228.90 = 541.84/x
  3. Step 3: Cross multiply
    820.34x = 1,228.90 × 541.84
  4. Step 4: Simplify right side
    820.34x = 665,864.47
  5. Step 5: Solve for x
    x = 665,864.47/820.34
  6. Step 6: Final answer
    x = 811.70

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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.