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Finding the Fourth Proportional to 816.78, 1,223.52 and 491.94

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Solution

The fourth proportional to 816.78, 1,223.52 and 491.94 is: 736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.78 : 1,223.52 = 491.94 : x
  2. Step 2: Convert to fraction form
    816.78/1,223.52 = 491.94/x
  3. Step 3: Cross multiply
    816.78x = 1,223.52 × 491.94
  4. Step 4: Simplify right side
    816.78x = 601,898.43
  5. Step 5: Solve for x
    x = 601,898.43/816.78
  6. Step 6: Final answer
    x = 736.92

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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.