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Finding the Fourth Proportional to 816.02, 1,223.73 and 377.40

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Solution

The fourth proportional to 816.02, 1,223.73 and 377.40 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.02 : 1,223.73 = 377.40 : x
  2. Step 2: Convert to fraction form
    816.02/1,223.73 = 377.40/x
  3. Step 3: Cross multiply
    816.02x = 1,223.73 × 377.40
  4. Step 4: Simplify right side
    816.02x = 461,835.70
  5. Step 5: Solve for x
    x = 461,835.70/816.02
  6. Step 6: Final answer
    x = 565.96

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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.