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Finding the Fourth Proportional to 815.56, 1,123.86 and 535.48

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Solution

The fourth proportional to 815.56, 1,123.86 and 535.48 is: 737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.56 : 1,123.86 = 535.48 : x
  2. Step 2: Convert to fraction form
    815.56/1,123.86 = 535.48/x
  3. Step 3: Cross multiply
    815.56x = 1,123.86 × 535.48
  4. Step 4: Simplify right side
    815.56x = 601,804.55
  5. Step 5: Solve for x
    x = 601,804.55/815.56
  6. Step 6: Final answer
    x = 737.90

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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.