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Finding the Fourth Proportional to 913.92, 1,364.19 and 804.57

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Solution

The fourth proportional to 913.92, 1,364.19 and 804.57 is: 1,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.92 : 1,364.19 = 804.57 : x
  2. Step 2: Convert to fraction form
    913.92/1,364.19 = 804.57/x
  3. Step 3: Cross multiply
    913.92x = 1,364.19 × 804.57
  4. Step 4: Simplify right side
    913.92x = 1,097,586.35
  5. Step 5: Solve for x
    x = 1,097,586.35/913.92
  6. Step 6: Final answer
    x = 1,200.97

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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.