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Finding the Fourth Proportional to 821.84, 1,232.64 and 274.01

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Solution

The fourth proportional to 821.84, 1,232.64 and 274.01 is: 410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,232.64 = 274.01 : x
  2. Step 2: Convert to fraction form
    821.84/1,232.64 = 274.01/x
  3. Step 3: Cross multiply
    821.84x = 1,232.64 × 274.01
  4. Step 4: Simplify right side
    821.84x = 337,749.52
  5. Step 5: Solve for x
    x = 337,749.52/821.84
  6. Step 6: Final answer
    x = 410.97

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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.