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Finding the Fourth Proportional to 815.46, 1,216.92 and 746.34

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Solution

The fourth proportional to 815.46, 1,216.92 and 746.34 is: 1,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.46 : 1,216.92 = 746.34 : x
  2. Step 2: Convert to fraction form
    815.46/1,216.92 = 746.34/x
  3. Step 3: Cross multiply
    815.46x = 1,216.92 × 746.34
  4. Step 4: Simplify right side
    815.46x = 908,236.07
  5. Step 5: Solve for x
    x = 908,236.07/815.46
  6. Step 6: Final answer
    x = 1,113.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.