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Finding the Fourth Proportional to 905.43, 1,246.82 and 840.09

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Solution

The fourth proportional to 905.43, 1,246.82 and 840.09 is: 1,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.43 : 1,246.82 = 840.09 : x
  2. Step 2: Convert to fraction form
    905.43/1,246.82 = 840.09/x
  3. Step 3: Cross multiply
    905.43x = 1,246.82 × 840.09
  4. Step 4: Simplify right side
    905.43x = 1,047,436.81
  5. Step 5: Solve for x
    x = 1,047,436.81/905.43
  6. Step 6: Final answer
    x = 1,156.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.