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Finding the Fourth Proportional to 1,409.58, 1,945.85 and 938.31

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Solution

The fourth proportional to 1,409.58, 1,945.85 and 938.31 is: 1,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.58 : 1,945.85 = 938.31 : x
  2. Step 2: Convert to fraction form
    1,409.58/1,945.85 = 938.31/x
  3. Step 3: Cross multiply
    1,409.58x = 1,945.85 × 938.31
  4. Step 4: Simplify right side
    1,409.58x = 1,825,810.51
  5. Step 5: Solve for x
    x = 1,825,810.51/1,409.58
  6. Step 6: Final answer
    x = 1,295.29

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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.