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Finding the Fourth Proportional to 816.90, 1,226.51 and 507.76

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Solution

The fourth proportional to 816.90, 1,226.51 and 507.76 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.90 : 1,226.51 = 507.76 : x
  2. Step 2: Convert to fraction form
    816.90/1,226.51 = 507.76/x
  3. Step 3: Cross multiply
    816.90x = 1,226.51 × 507.76
  4. Step 4: Simplify right side
    816.90x = 622,772.72
  5. Step 5: Solve for x
    x = 622,772.72/816.90
  6. Step 6: Final answer
    x = 762.36

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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.