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Finding the Fourth Proportional to 816.36, 1,225.02 and 451.56

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Solution

The fourth proportional to 816.36, 1,225.02 and 451.56 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.36 : 1,225.02 = 451.56 : x
  2. Step 2: Convert to fraction form
    816.36/1,225.02 = 451.56/x
  3. Step 3: Cross multiply
    816.36x = 1,225.02 × 451.56
  4. Step 4: Simplify right side
    816.36x = 553,170.03
  5. Step 5: Solve for x
    x = 553,170.03/816.36
  6. Step 6: Final answer
    x = 677.61

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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.