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Finding the Fourth Proportional to 817.08, 1,226.16 and 451.50

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Solution

The fourth proportional to 817.08, 1,226.16 and 451.50 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.08 : 1,226.16 = 451.50 : x
  2. Step 2: Convert to fraction form
    817.08/1,226.16 = 451.50/x
  3. Step 3: Cross multiply
    817.08x = 1,226.16 × 451.50
  4. Step 4: Simplify right side
    817.08x = 553,611.24
  5. Step 5: Solve for x
    x = 553,611.24/817.08
  6. Step 6: Final answer
    x = 677.55

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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.