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Finding the Fourth Proportional to 1,364.38, 2,047.42 and 623.87

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Solution

The fourth proportional to 1,364.38, 2,047.42 and 623.87 is: 936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.38 : 2,047.42 = 623.87 : x
  2. Step 2: Convert to fraction form
    1,364.38/2,047.42 = 623.87/x
  3. Step 3: Cross multiply
    1,364.38x = 2,047.42 × 623.87
  4. Step 4: Simplify right side
    1,364.38x = 1,277,318.63
  5. Step 5: Solve for x
    x = 1,277,318.63/1,364.38
  6. Step 6: Final answer
    x = 936.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.