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Finding the Fourth Proportional to 815.99, 1,224 and 508.73

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Solution

The fourth proportional to 815.99, 1,224 and 508.73 is: 763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.99 : 1,224 = 508.73 : x
  2. Step 2: Convert to fraction form
    815.99/1,224 = 508.73/x
  3. Step 3: Cross multiply
    815.99x = 1,224 × 508.73
  4. Step 4: Simplify right side
    815.99x = 622,679.40
  5. Step 5: Solve for x
    x = 622,679.40/815.99
  6. Step 6: Final answer
    x = 763.10

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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.