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Finding the Fourth Proportional to 816.99, 1,223.40 and 451.37

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Solution

The fourth proportional to 816.99, 1,223.40 and 451.37 is: 675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.99 : 1,223.40 = 451.37 : x
  2. Step 2: Convert to fraction form
    816.99/1,223.40 = 451.37/x
  3. Step 3: Cross multiply
    816.99x = 1,223.40 × 451.37
  4. Step 4: Simplify right side
    816.99x = 552,206.06
  5. Step 5: Solve for x
    x = 552,206.06/816.99
  6. Step 6: Final answer
    x = 675.90

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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.