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Finding the Fourth Proportional to 816.98, 1,223.93 and 378.59

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Solution

The fourth proportional to 816.98, 1,223.93 and 378.59 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.98 : 1,223.93 = 378.59 : x
  2. Step 2: Convert to fraction form
    816.98/1,223.93 = 378.59/x
  3. Step 3: Cross multiply
    816.98x = 1,223.93 × 378.59
  4. Step 4: Simplify right side
    816.98x = 463,359.65
  5. Step 5: Solve for x
    x = 463,359.65/816.98
  6. Step 6: Final answer
    x = 567.17

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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.