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Finding the Fourth Proportional to 815.05, 1,125.25 and 535.75

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Solution

The fourth proportional to 815.05, 1,125.25 and 535.75 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.05 : 1,125.25 = 535.75 : x
  2. Step 2: Convert to fraction form
    815.05/1,125.25 = 535.75/x
  3. Step 3: Cross multiply
    815.05x = 1,125.25 × 535.75
  4. Step 4: Simplify right side
    815.05x = 602,850.04
  5. Step 5: Solve for x
    x = 602,850.04/815.05
  6. Step 6: Final answer
    x = 739.65

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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.