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Finding the Fourth Proportional to 820.13, 1,229.58 and 271.98

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Solution

The fourth proportional to 820.13, 1,229.58 and 271.98 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,229.58 = 271.98 : x
  2. Step 2: Convert to fraction form
    820.13/1,229.58 = 271.98/x
  3. Step 3: Cross multiply
    820.13x = 1,229.58 × 271.98
  4. Step 4: Simplify right side
    820.13x = 334,421.17
  5. Step 5: Solve for x
    x = 334,421.17/820.13
  6. Step 6: Final answer
    x = 407.77

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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.