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Finding the Fourth Proportional to 814.55, 1,221.83 and 507.77

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Solution

The fourth proportional to 814.55, 1,221.83 and 507.77 is: 761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.55 : 1,221.83 = 507.77 : x
  2. Step 2: Convert to fraction form
    814.55/1,221.83 = 507.77/x
  3. Step 3: Cross multiply
    814.55x = 1,221.83 × 507.77
  4. Step 4: Simplify right side
    814.55x = 620,399.97
  5. Step 5: Solve for x
    x = 620,399.97/814.55
  6. Step 6: Final answer
    x = 761.65

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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.