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Finding the Fourth Proportional to 974.33, 1,460.65 and 426.09

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Solution

The fourth proportional to 974.33, 1,460.65 and 426.09 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.33 : 1,460.65 = 426.09 : x
  2. Step 2: Convert to fraction form
    974.33/1,460.65 = 426.09/x
  3. Step 3: Cross multiply
    974.33x = 1,460.65 × 426.09
  4. Step 4: Simplify right side
    974.33x = 622,368.36
  5. Step 5: Solve for x
    x = 622,368.36/974.33
  6. Step 6: Final answer
    x = 638.77

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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.