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Finding the Fourth Proportional to 815.24, 1,125.24 and 520.76

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Solution

The fourth proportional to 815.24, 1,125.24 and 520.76 is: 718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.24 : 1,125.24 = 520.76 : x
  2. Step 2: Convert to fraction form
    815.24/1,125.24 = 520.76/x
  3. Step 3: Cross multiply
    815.24x = 1,125.24 × 520.76
  4. Step 4: Simplify right side
    815.24x = 585,979.98
  5. Step 5: Solve for x
    x = 585,979.98/815.24
  6. Step 6: Final answer
    x = 718.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.