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Finding the Fourth Proportional to 816.05, 1,126.25 and 462.11

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Solution

The fourth proportional to 816.05, 1,126.25 and 462.11 is: 637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.05 : 1,126.25 = 462.11 : x
  2. Step 2: Convert to fraction form
    816.05/1,126.25 = 462.11/x
  3. Step 3: Cross multiply
    816.05x = 1,126.25 × 462.11
  4. Step 4: Simplify right side
    816.05x = 520,443.45
  5. Step 5: Solve for x
    x = 520,443.45/816.05
  6. Step 6: Final answer
    x = 637.76

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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.