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Finding the Fourth Proportional to 1,040.03, 1,435.42 and 620.41

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Solution

The fourth proportional to 1,040.03, 1,435.42 and 620.41 is: 856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.03 : 1,435.42 = 620.41 : x
  2. Step 2: Convert to fraction form
    1,040.03/1,435.42 = 620.41/x
  3. Step 3: Cross multiply
    1,040.03x = 1,435.42 × 620.41
  4. Step 4: Simplify right side
    1,040.03x = 890,546.11
  5. Step 5: Solve for x
    x = 890,546.11/1,040.03
  6. Step 6: Final answer
    x = 856.27

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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.