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Finding the Fourth Proportional to 1,435.22, 1,980.75 and 911.25

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Solution

The fourth proportional to 1,435.22, 1,980.75 and 911.25 is: 1,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.22 : 1,980.75 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,435.22/1,980.75 = 911.25/x
  3. Step 3: Cross multiply
    1,435.22x = 1,980.75 × 911.25
  4. Step 4: Simplify right side
    1,435.22x = 1,804,961.85
  5. Step 5: Solve for x
    x = 1,804,961.85/1,435.22
  6. Step 6: Final answer
    x = 1,257.62

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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.