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Finding the Fourth Proportional to 816.66, 1,223.64 and 491.22

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Solution

The fourth proportional to 816.66, 1,223.64 and 491.22 is: 736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.66 : 1,223.64 = 491.22 : x
  2. Step 2: Convert to fraction form
    816.66/1,223.64 = 491.22/x
  3. Step 3: Cross multiply
    816.66x = 1,223.64 × 491.22
  4. Step 4: Simplify right side
    816.66x = 601,076.44
  5. Step 5: Solve for x
    x = 601,076.44/816.66
  6. Step 6: Final answer
    x = 736.02

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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.