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Finding the Fourth Proportional to 815.76, 1,123.38 and 799.56

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Solution

The fourth proportional to 815.76, 1,123.38 and 799.56 is: 1,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,123.38 = 799.56 : x
  2. Step 2: Convert to fraction form
    815.76/1,123.38 = 799.56/x
  3. Step 3: Cross multiply
    815.76x = 1,123.38 × 799.56
  4. Step 4: Simplify right side
    815.76x = 898,209.71
  5. Step 5: Solve for x
    x = 898,209.71/815.76
  6. Step 6: Final answer
    x = 1,101.07

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Why These Related Problems?

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