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Finding the Fourth Proportional to 828.84, 1,144.14 and 534.21

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Solution

The fourth proportional to 828.84, 1,144.14 and 534.21 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,144.14 = 534.21 : x
  2. Step 2: Convert to fraction form
    828.84/1,144.14 = 534.21/x
  3. Step 3: Cross multiply
    828.84x = 1,144.14 × 534.21
  4. Step 4: Simplify right side
    828.84x = 611,211.03
  5. Step 5: Solve for x
    x = 611,211.03/828.84
  6. Step 6: Final answer
    x = 737.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.