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Finding the Fourth Proportional to 822.11, 1,232.76 and 334.76

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Solution

The fourth proportional to 822.11, 1,232.76 and 334.76 is: 501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,232.76 = 334.76 : x
  2. Step 2: Convert to fraction form
    822.11/1,232.76 = 334.76/x
  3. Step 3: Cross multiply
    822.11x = 1,232.76 × 334.76
  4. Step 4: Simplify right side
    822.11x = 412,678.74
  5. Step 5: Solve for x
    x = 412,678.74/822.11
  6. Step 6: Final answer
    x = 501.98

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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.