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Finding the Fourth Proportional to 1,638.38, 2,456.79 and 597.65

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Solution

The fourth proportional to 1,638.38, 2,456.79 and 597.65 is: 896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.38 : 2,456.79 = 597.65 : x
  2. Step 2: Convert to fraction form
    1,638.38/2,456.79 = 597.65/x
  3. Step 3: Cross multiply
    1,638.38x = 2,456.79 × 597.65
  4. Step 4: Simplify right side
    1,638.38x = 1,468,300.54
  5. Step 5: Solve for x
    x = 1,468,300.54/1,638.38
  6. Step 6: Final answer
    x = 896.19

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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.