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Finding the Fourth Proportional to 828.84, 1,143.46 and 549.22

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Solution

The fourth proportional to 828.84, 1,143.46 and 549.22 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,143.46 = 549.22 : x
  2. Step 2: Convert to fraction form
    828.84/1,143.46 = 549.22/x
  3. Step 3: Cross multiply
    828.84x = 1,143.46 × 549.22
  4. Step 4: Simplify right side
    828.84x = 628,011.10
  5. Step 5: Solve for x
    x = 628,011.10/828.84
  6. Step 6: Final answer
    x = 757.70

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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.