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Finding the Fourth Proportional to 816.66, 1,126.97 and 443.63

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Solution

The fourth proportional to 816.66, 1,126.97 and 443.63 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.66 : 1,126.97 = 443.63 : x
  2. Step 2: Convert to fraction form
    816.66/1,126.97 = 443.63/x
  3. Step 3: Cross multiply
    816.66x = 1,126.97 × 443.63
  4. Step 4: Simplify right side
    816.66x = 499,950.90
  5. Step 5: Solve for x
    x = 499,950.90/816.66
  6. Step 6: Final answer
    x = 612.19

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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.